WorldCat Identities

Segal, Daniel 1947-

Works: 14 works in 95 publications in 3 languages and 1,845 library holdings
Roles: Author, Editor, Thesis advisor, Other
Publication Timeline
Most widely held works by Daniel Segal
Polycyclic groups by Daniel Segal( Book )

18 editions published between 1983 and 2005 in English and Undetermined and held by 402 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 self-contained account of the group-theoretical 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 270 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 so-called 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 "non-commutative arithmetic", with applications to the study of lattices in Lie groups. Another kind of non-commutative arithmetic arises with the introduction of subgroup-counting zeta functions; these fascinating and mysterious zeta functions have remarkable applications both to the "arithmetic of subgroup growth" and to the classification of finite p-groups. 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 p-adic model theory. Relevant aspects of such topics are explained in self-contained "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 pro-p groups by Marcus Du Sautoy( Book )

13 editions published in 2000 in English and held by 246 WorldCat member libraries worldwide

The impetus for current research in pro-p 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 p-groups; 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 pro-p 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 pro-p groups by John D Dixon( Book )

18 editions published between 1991 and 2003 in English and held by 242 WorldCat member libraries worldwide

An up-to-date treatment of analytic pro-p groups for graduate students and researchers.--Résumé de l'éditeur
Words : notes on verbal width in groups by Daniel Segal( Book )

13 editions published in 2009 in English and Undetermined and held by 230 WorldCat member libraries worldwide

Explores fundamental questions about the behaviour of word-values in groups
Lectures on profinite topics in group theory by Benjamin Klopsch( Book )

11 editions published in 2011 in English and held by 173 WorldCat member libraries worldwide

In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory
International cross-listing 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 cross-listing 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, cross-listing may not provide benefits for all firms, even when those firms meet the highest regulatory requirements for disclosure and supervision. When cross-listed 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. Cross-listed firms that remain predominantly traded in the home market following cross-listing are valued similarly to non-cross-listed 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
Zeta functions of groups by Juliette V White( )

1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide

La réflexivité et le méta-raisonnement 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

Thèse. HEC. 1997
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

Some topics in nilpotent group theory by Dermot Grenham( )

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 Fraser Semple( )

1 edition published in 1992 in English and held by 1 WorldCat member library worldwide

Cambridge Tracts in Mathematics, 82 by Daniel Segal( )

1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide

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Audience level: 0.69 (from 0.57 for Libraries ... to 0.98 for Iscrizioni ...)

Polycyclic groups
Alternative Names
Dan Segal britischer Mathematiker und Hochschullehrer

Dan Segal Brits wiskundige

Dan Segal matemático británico

Dan Segal mathématicien britannique

Segal, D.

Segal, D. 1947-

Segal, D. (Daniel), 1947-

Segal, Dan.

Segal Dan 19..-.... mathématicien

Segal, Dan 1947-

Segal, Daniel

Segal, Daniel L.

דניאל סגל

דניאל סגל מתמטיקאי בריטי

Subgroup growthNew horizons in pro-p groupsAnalytic pro-p groupsWords : notes on verbal width in groupsLectures on profinite topics in group theory