Segal, Daniel 1947
Overview
Works:  12 works in 74 publications in 3 languages and 1,735 library holdings 

Roles:  Author, Editor, Thesis advisor, Other 
Classifications:  QA171, 512.2 
Publication Timeline
.
Most widely held works by
Daniel Segal
Polycyclic groups by
Daniel Segal(
Book
)
15 editions published between 1983 and 2005 in English and Undetermined and held by 408 WorldCat member libraries worldwide
The theory of polycyclic groups is a branch of infinite group theory which has a rather different flavour from the rest of that subject. This book is a comprehensive account of the present state of this theory. As well as providing a connected and selfcontained account of the grouptheoretical background, it explains in detail how deep methods of number theory and algebraic group theory have been used to achieve some very recent and rather spectacular advances in the subject. Up to now, most of this material has only been available in scattered research journals, and some of it is new. This book is the only unified account of these developments, and will be of interest to mathematicians doing research in algebra, and to postgraduate students studying that subject
15 editions published between 1983 and 2005 in English and Undetermined and held by 408 WorldCat member libraries worldwide
The theory of polycyclic groups is a branch of infinite group theory which has a rather different flavour from the rest of that subject. This book is a comprehensive account of the present state of this theory. As well as providing a connected and selfcontained account of the grouptheoretical background, it explains in detail how deep methods of number theory and algebraic group theory have been used to achieve some very recent and rather spectacular advances in the subject. Up to now, most of this material has only been available in scattered research journals, and some of it is new. This book is the only unified account of these developments, and will be of interest to mathematicians doing research in algebra, and to postgraduate students studying that subject
Subgroup growth by
Alexander Lubotzky(
Book
)
13 editions published between 2003 and 2004 in English and held by 265 WorldCat member libraries worldwide
Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. As well as determining the range of possible "growth types", for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. For example the socalled PSG Theorem, proved in Chapter 5, characterizes the groups of polynomial subgroup growth as those which are virtually soluble of finite rank. A key element in the proof is the growth of congruence subgroups in arithmetic groups, a new kind of "noncommutative arithmetic", with applications to the study of lattices in Lie groups. Another kind of noncommutative arithmetic arises with the introduction of subgroupcounting zeta functions; these fascinating and mysterious zeta functions have remarkable applications both to the "arithmetic of subgroup growth" and to the classification of finite pgroups. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and strong approximation, algebraic and analytic number theory, probability, and padic model theory. Relevant aspects of such topics are explained in selfcontained "windows", making the book accessible to a wide mathematical readership. The book concludes with over 60 challenging open problems that will stimulate further research in this rapidly growing subject
13 editions published between 2003 and 2004 in English and held by 265 WorldCat member libraries worldwide
Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. As well as determining the range of possible "growth types", for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. For example the socalled PSG Theorem, proved in Chapter 5, characterizes the groups of polynomial subgroup growth as those which are virtually soluble of finite rank. A key element in the proof is the growth of congruence subgroups in arithmetic groups, a new kind of "noncommutative arithmetic", with applications to the study of lattices in Lie groups. Another kind of noncommutative arithmetic arises with the introduction of subgroupcounting zeta functions; these fascinating and mysterious zeta functions have remarkable applications both to the "arithmetic of subgroup growth" and to the classification of finite pgroups. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and strong approximation, algebraic and analytic number theory, probability, and padic model theory. Relevant aspects of such topics are explained in selfcontained "windows", making the book accessible to a wide mathematical readership. The book concludes with over 60 challenging open problems that will stimulate further research in this rapidly growing subject
New horizons in prop groups by
Marcus Du Sautoy(
Book
)
13 editions published in 2000 in English and held by 242 WorldCat member libraries worldwide
The impetus for current research in prop groups comes from four main directions: from new applications in number theory, which continue to be a source of deep and challenging problems; from the traditional problem of classifying finite pgroups; from questions arising in infinite group theory; and finally, from the younger subject of profinite group theory. A correspondingly diverse range of mathematical techniques is being successfully applied, leading to new results and pointing to exciting new directions of research. In this work important theoretical developments are carefully presented by leading mathematicians in the field, bringing the reader to the cutting edge of current research. With a systematic emphasis on the construction and examination of many classes of examples, the book presents a clear picture of the rich universe of prop groups, in its unity and diversity. Thirty open problems are discussed in the appendix. For graduate students and researchers in group theory, number theory, and algebra, this work will be an indispensable reference text and a rich source of promising avenues for further exploration
13 editions published in 2000 in English and held by 242 WorldCat member libraries worldwide
The impetus for current research in prop groups comes from four main directions: from new applications in number theory, which continue to be a source of deep and challenging problems; from the traditional problem of classifying finite pgroups; from questions arising in infinite group theory; and finally, from the younger subject of profinite group theory. A correspondingly diverse range of mathematical techniques is being successfully applied, leading to new results and pointing to exciting new directions of research. In this work important theoretical developments are carefully presented by leading mathematicians in the field, bringing the reader to the cutting edge of current research. With a systematic emphasis on the construction and examination of many classes of examples, the book presents a clear picture of the rich universe of prop groups, in its unity and diversity. Thirty open problems are discussed in the appendix. For graduate students and researchers in group theory, number theory, and algebra, this work will be an indispensable reference text and a rich source of promising avenues for further exploration
Analytic prop groups by
John D Dixon(
Book
)
11 editions published between 1999 and 2003 in English and held by 227 WorldCat member libraries worldwide
An uptodate treatment of analytic prop groups for graduate students and researchers
11 editions published between 1999 and 2003 in English and held by 227 WorldCat member libraries worldwide
An uptodate treatment of analytic prop groups for graduate students and researchers
Words : notes on verbal width in groups by
Daniel Segal(
Book
)
6 editions published in 2009 in English and held by 206 WorldCat member libraries worldwide
Explores fundamental questions about the behaviour of wordvalues in groups
6 editions published in 2009 in English and held by 206 WorldCat member libraries worldwide
Explores fundamental questions about the behaviour of wordvalues in groups
Lectures on profinite topics in group theory by
Benjamin Klopsch(
Book
)
9 editions published in 2011 in English and held by 161 WorldCat member libraries worldwide
An introduction to three key aspects of current research in infinite group theory, suitable for graduate students
9 editions published in 2011 in English and held by 161 WorldCat member libraries worldwide
An introduction to three key aspects of current research in infinite group theory, suitable for graduate students
International crosslisting and the bonding hypothesis by
Michael R King(
Book
)
1 edition published in 2004 in English and held by 4 WorldCat member libraries worldwide
The authors describe a new view of crosslisting that links the impact on firm valuation to the firm's ability to develop an active secondary market for its shares in the U.S. markets. Contrary to previous research, crosslisting may not provide benefits for all firms, even when those firms meet the highest regulatory requirements for disclosure and supervision. When crosslisted firms are divided into two groups on the basis of their share turnover in the home market relative to the U.S. market, the firms that develop active trading in the U.S. market experience an increase in valuation. Crosslisted firms that remain predominantly traded in the home market following crosslisting are valued similarly to noncrosslisted firms. To gain the full benefits of crosslisting, a foreign firm must convince investors that their shareholder rights will be protected. The effectiveness of this reputational bonding is witnessed in the ratio of trading on the U.S. market relative to the home market
1 edition published in 2004 in English and held by 4 WorldCat member libraries worldwide
The authors describe a new view of crosslisting that links the impact on firm valuation to the firm's ability to develop an active secondary market for its shares in the U.S. markets. Contrary to previous research, crosslisting may not provide benefits for all firms, even when those firms meet the highest regulatory requirements for disclosure and supervision. When crosslisted firms are divided into two groups on the basis of their share turnover in the home market relative to the U.S. market, the firms that develop active trading in the U.S. market experience an increase in valuation. Crosslisted firms that remain predominantly traded in the home market following crosslisting are valued similarly to noncrosslisted firms. To gain the full benefits of crosslisting, a foreign firm must convince investors that their shareholder rights will be protected. The effectiveness of this reputational bonding is witnessed in the ratio of trading on the U.S. market relative to the home market
La réflexivité et le métaraisonnement dans les systèmes d'aide à la décision appliqués au domaine de la gestion de
production by
Daniel Segal(
Book
)
2 editions published in 1997 in French and held by 2 WorldCat member libraries worldwide
2 editions published in 1997 in French and held by 2 WorldCat member libraries worldwide
Iscrizioni ebraiche a Bologna : stili e contenuti delle epigrafi tombali by
Lucio Pardo(
)
1 edition published in 2000 in Italian and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in Italian and held by 2 WorldCat member libraries worldwide
Zeta functions of groups by J. V. V White(
)
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide
Some topics in nilpotent group theory by
Dermot Grenham(
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Completion of restricted Lie algebras and collapsing groups by
James F Semple(
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Du Sautoy, Marcus Other Author Editor
 Lubotzky, Alexander 1956 Author
 Shalev, Aner 1958 Editor
 Dixon, John D. Other
 Nikolov, Nikolay
 Klopsch, Benjamin Author
 Voll, Christopher
 Voll, Christopher
 Cambridge University Press
 Du Sautoy, Peter
Useful Links
Associated Subjects
Algebra Corporate governance Corporations, ForeignValuation Dirichlet series Euler products Financial instruments Finite groups Functions, Zeta Global analysis (Mathematics) Group theory Infinite groups Lie algebras Mathematics Nilpotent groups Nilpotent Lie groups Number theory padic groups Polycyclic groups Profinite groups SecuritiesListing Solvable groups Stock exchanges StocksPrices Subgroup growth (Mathematics) United States
Alternative Names
Dan Segal britischer Mathematiker und Hochschullehrer
Dan Segal Brits wiskundige
Segal, D.
Segal, D. 1947
Segal, D. (Daniel), 1947
Segal, Dan.
Segal Dan 19...... mathématicien
Segal, Dan 1947
Segal, Daniel
Segal, Daniel L.
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