Milgram, R. James
Overview
Works:  51 works in 204 publications in 5 languages and 3,081 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other, Dedicatee, Contributor 
Classifications:  QA177, 515.353 
Publication Timeline
.
Most widely held works by
R. James Milgram
Cohomology of finite groups by
Alejandro Adem(
Book
)
24 editions published between 1994 and 2010 in 3 languages and held by 587 WorldCat member libraries worldwide
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic Ktheory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, describing the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of various important classes of groups, and several of the sporadic simple groups, enables readers to acquire an indepth understanding of group cohomology and its extensive applications. The 2nd edition contains many more mod 2 cohomology calculations for the sporadic simple groups, obtained by the authors and with their collaborators over the past decade.Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged
24 editions published between 1994 and 2010 in 3 languages and held by 587 WorldCat member libraries worldwide
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic Ktheory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, describing the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of various important classes of groups, and several of the sporadic simple groups, enables readers to acquire an indepth understanding of group cohomology and its extensive applications. The 2nd edition contains many more mod 2 cohomology calculations for the sporadic simple groups, obtained by the authors and with their collaborators over the past decade.Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged
The classifying spaces for surgery and cobordism of manifolds by
I. H Madsen(
Book
)
21 editions published between 1979 and 2016 in English and Russian and held by 450 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
21 editions published between 1979 and 2016 in English and Russian and held by 450 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
Algebraic and geometric topology by
R. James Milgram(
Book
)
29 editions published between 1978 and 1989 in English and held by 390 WorldCat member libraries worldwide
29 editions published between 1978 and 1989 in English and held by 390 WorldCat member libraries worldwide
Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 913, 1993, Cocoyoc,
Mexico by Conference on algebraic topology in honor of Samuel Gitler(
Book
)
11 editions published in 1995 in English and held by 224 WorldCat member libraries worldwide
This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in August 1993 (Cocoyoc, Mexico). It includes several research papers and three expository papers on various topics in homotopy theory. The research papers discuss the following: application of homotopy theory to group theory, fiber bundle theory, and homotopy theory. The expository papers consider the following topics: the AtiyahJones conjecture (by C. Boyer), classifying spaces of finite groups (by J. Martino), and instanton moduli spaces (by R.J. Milgram). Homotopy Theory and Its Applications offers a distinctive account of how homotopytheoretic methods can be applied to a variety of interesting problems
11 editions published in 1995 in English and held by 224 WorldCat member libraries worldwide
This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in August 1993 (Cocoyoc, Mexico). It includes several research papers and three expository papers on various topics in homotopy theory. The research papers discuss the following: application of homotopy theory to group theory, fiber bundle theory, and homotopy theory. The expository papers consider the following topics: the AtiyahJones conjecture (by C. Boyer), classifying spaces of finite groups (by J. Martino), and instanton moduli spaces (by R.J. Milgram). Homotopy Theory and Its Applications offers a distinctive account of how homotopytheoretic methods can be applied to a variety of interesting problems
Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James
Milgram, August 1721, 1999, Stanford, California by
Conference on Algebraic Topology in Honor of R. James Milgram(
Book
)
11 editions published in 2001 in English and held by 182 WorldCat member libraries worldwide
11 editions published in 2001 in English and held by 182 WorldCat member libraries worldwide
A survey of the spherical space form problem by
J. F Davis(
Book
)
7 editions published in 1985 in English and held by 134 WorldCat member libraries worldwide
7 editions published in 1985 in English and held by 134 WorldCat member libraries worldwide
Topology, geometry, and algebra : interactions and new directions : Conference on Algebraic Topology in honor of R. James
Milgram, August 1721, 1999, Stanford University by AMSIMSSIAM Joint Summer Research Conference on Algebraic Topology(
Book
)
1 edition published in 2001 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 14 WorldCat member libraries worldwide
Algebra 1(
Book
)
1 edition published in 2010 in English and held by 12 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 12 WorldCat member libraries worldwide
The oriented bordism of topological manifolds and integrality relations by
I. H Madsen(
Book
)
6 editions published between 1975 and 1977 in English and Danish and held by 8 WorldCat member libraries worldwide
6 editions published between 1975 and 1977 in English and Danish and held by 8 WorldCat member libraries worldwide
Seminar on singularities of solutions of linear partial differential equations by
Lars Hörmander(
Book
)
1 edition published in 1979 in English and held by 7 WorldCat member libraries worldwide
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 19771978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the nonspecialist
1 edition published in 1979 in English and held by 7 WorldCat member libraries worldwide
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 19771978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the nonspecialist
The homology ring of symmetric products of moore spaces by
R. James Milgram(
Book
)
3 editions published in 1964 in English and Undetermined and held by 4 WorldCat member libraries worldwide
3 editions published in 1964 in English and Undetermined and held by 4 WorldCat member libraries worldwide
Padic logarithms and the algebraic K, L groups for certain transcendence degree 1̲ extensions of Z[pi] by
R. James Milgram(
Book
)
3 editions published in 1987 in English and German and held by 4 WorldCat member libraries worldwide
3 editions published in 1987 in English and German and held by 4 WorldCat member libraries worldwide
Algebra 1 : sourcebook(
Book
)
1 edition published in 2010 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 4 WorldCat member libraries worldwide
On truncated symmetric products by
C.F Bödigheimer(
Book
)
2 editions published in 1989 in German and English and held by 4 WorldCat member libraries worldwide
2 editions published in 1989 in German and English and held by 4 WorldCat member libraries worldwide
Algebraic and geometric topology : proceedings of the Symposium in Pure Mathematics of the American Mathematical Society,
held at Stanford University, Stanford, California, August 221, 1976 by Symposium in Pure Mathematics of the American Mathematical Society(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Algebraic and geometric topology : proceedings ... by Symposium in Pure Mathematics(
Book
)
2 editions published in 1978 in English and held by 1 WorldCat member library worldwide
2 editions published in 1978 in English and held by 1 WorldCat member library worldwide
Homotopy Theory and Its Applications : a Conference on Algebraic Topology August 913, 1993, Cocoyoc, Mexico by
Alejandro Adem(
)
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM92) by
I. H Madsen(
)
2 editions published between 1980 and 2016 in English and held by 0 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
2 editions published between 1980 and 2016 in English and held by 0 WorldCat member libraries worldwide
Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsionfree generators
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Related Identities
 Adem, Alejandro Other Author Editor
 Madsen, I. H. (Ib Henning) 1942 Author
 American Mathematical Society
 Ravenel, Douglas C. Other Editor
 Gitler, Samuel Other Dedicatee
 Carlsson, G. (Gunnar) 1952 Other Editor
 Cohen, Ralph L. 1952 Other Editor
 Davis, J. F. Author
 Wolf, J. A. (Joseph Allen) 1933 Editor
 American Mathematical Society Editor
Useful Links
Associated Subjects
Algebra Algebraic topology AlgebraStudy and teaching (Secondary) Classifying spaces Cobordism theory Differential equations, LinearNumerical solutions Differential equations, Partial Differential equations, PartialNumerical solutions Finite groups Geometry, Algebraic Global analysis (Mathematics) Group theory Homology theory Homotopy theory Human chromosome abnormalities Ktheory Manifolds (Mathematics) Mathematics Medical genetics Riemannian manifolds Sphere Spherical harmonics Surgery (Topology) Transcendental numbers
Alternative Names
Milgram, R. J.
Milgram, R. J. 1939
Milgram, R. J. (R. James)
Milgram, R. J. (R. James), 1939
Milgram, R. James
Milgram, R. James 1939
Milgram, Richard J.
Milgram, Richard J. 1939
Milgram, Richard James.
Milgrėm, R. 1939
Milgrėm, R. ǅejms 1939
R. James Milgram USamerikanischer Mathematiker
Richard James Milgram Amerikaans wiskundige
Richard James Milgram matemático estadounidense
Richard James Milgram mathématicien américain
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