WorldCat Identities
Fri Mar 21 17:12:13 2014 UTClccn-n820649440.47Zeta functions of groups /0.850.88Subgroup growth /36997747Dan_Segaln 82064944761792Segal, D.Segal, D. 1947-Segal, D. (Daniel), 1947-Segal, Dan.Segal Dan 19..-.... matheĢmaticienSegal, Dan, 1947-Segal, DanielSegal, Daniel L.lccn-n99001092Du Sautoy, Marcusedtlccn-n85027771Lubotzky, Alexander1956-lccn-n89106341Shalev, Aner1958-edtlccn-n50027336Dixon, John D.lccn-n2010076939Voll, Christopherlccn-n2010076935Klopsch, Benjaminlccn-n2010076940Nikolov, Nikolaynp-mann, aMann, A.lccn-n50059133Cambridge University Pressnp-du sautoy, m p fDu Sautoy, M. P. F.Segal, Daniel1947-Nilpotent groupsp-adic groupsGroup theoryProfinite groupsPolycyclic groupsFinite groupsSolvable groupsInfinite groupsSubgroup growth (Mathematics)Corporate governanceFinancial instrumentsStock exchangesSecurities--ListingCorporations, Foreign--ValuationStocks--PricesUnited StatesAlgebraNumber theoryMathematicsNilpotent Lie groupsDirichlet seriesFunctions, ZetaEuler productsLie algebras19471983198819911992199920002003200420052009201115981064512.2QA171ocn492865104ocn807705662ocn468708871ocn799299812ocn441139893ocn757413635ocn863539056ocn86353724439411ocn008476390book19830.81Segal, DanielPolycyclic groupsThe 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+-+29487567052599ocn051861897book20030.88Lubotzky, AlexanderSubgroup growthSubgroup 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+-+74341891282459ocn044578774book20000.88New horizons in pro-p groupsThe 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+-+36269126352449ocn299718421book20090.84Segal, DanielWords : notes on verbal width in groupsExplores fundamental questions about the behaviour of word-values in groups+-+K11292670523914ocn040631680book19910.84Dixon, John DAnalytic pro-p groupsAn up-to-date treatment of analytic pro-p groups for graduate students and researchers+-+46650167052108ocn676730874book20110.86Klopsch, BenjaminLectures on profinite topics in group theoryAn introduction to three key aspects of current research in infinite group theory, suitable for graduate students+-+265836670532431ocn757359210book20040.70King, Michael RInternational cross-listing and the bonding hypothesisThe 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 market21ocn050454749book20000.47White, Juliette VZeta functions of groups11ocn863537244mix19880.47Grenham, DermotSome topics in nilpotent group theory11ocn863539056mix19920.47Semple, James FCompletion of restricted Lie algebras and collapsing groups+-+2948756705+-+2948756705Fri Mar 21 15:17:25 EDT 2014batch11441