Complementation of Normal Subgroups: In Finite Groups, Joseph Kirtland

Автор: Michio Suzuki
Название: Structure of a Group and the Structure of its Lattice of Subgroups
ISBN: 3642527604 ISBN-13(EAN): 9783642527609
Издательство: Springer
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Описание: Accordingly we have given some proofs in considerable detail, though of course it is in the nature of such areport that many proofs have to be omitted or can only be given in outline.

Автор: Madabusi S. Raghunathan
Название: Discrete Subgroups of Lie Groups
ISBN: 3642864287 ISBN-13(EAN): 9783642864285
Издательство: Springer
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Описание: Our interest, by and large, is in a special class of discrete subgroups of Lie groups, viz., lattices (by a lattice in a locally compact group G, we mean a discrete subgroup H such that the homogeneous space GJ H carries a finite G-invariant measure). It is assumed that the reader has considerable familiarity with Lie groups and algebraic groups.

Автор: Alexander Lubotzky; Dan Segal
Название: Subgroup Growth
ISBN: 3034898460 ISBN-13(EAN): 9783034898461
Издательство: Springer
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Описание: 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.

Автор: Gregori A. Margulis
Название: Discrete Subgroups of Semisimple Lie Groups
ISBN: 3642057217 ISBN-13(EAN): 9783642057212
Издательство: Springer
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Описание: This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. The author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature.

Автор: Franz G. Timmesfeld
Название: Abstract Root Subgroups and Simple Groups of Lie-Type
ISBN: 3034875967 ISBN-13(EAN): 9783034875967
Издательство: Springer
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Описание: This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. The theory of abstract root subgroups is an important tool to study and classify simple classical and Lie-type groups.