On Non-Generic Finite Subgroups of Exceptional Algebraic Groups, Alastair J. Litterick

Автор: F. Dahmani, V. Guirardel, D. Osin
Название: Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces
ISBN: 1470421941 ISBN-13(EAN): 9781470421946
Издательство: Mare Nostrum (Eurospan)
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Описание: Introduces and studies the notions of hyperbolically embedded and very rotating families of subgroups. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes.

Автор: Joseph Kirtland
Название: Complementation of Normal Subgroups: In Finite Groups
ISBN: 311047879X ISBN-13(EAN): 9783110478792
Издательство: Walter de Gruyter
Цена: 107790.00 T
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Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations.

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: 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: Daniel Gorenstein, Richard Lyons, Ronald Solomon
Название: The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7-11: The Generic Case, Stages 3b and 4a
ISBN: 082184069X ISBN-13(EAN): 9780821840696
Издательство: Mare Nostrum (Eurospan)
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Описание: The classification of finite simple groups is a landmark result of modern mathematics. The multipart series of monographs which is being published by the AMS (Volume 40.1-40.7 and future volumes) represents the culmination of a century-long project involving the efforts of scores of mathematicians published in hundreds of journal articles, books, and doctoral theses, totaling an estimated 15,000 pages. This part 7 of the series is the middle of a trilogy (Volume 40.5, Volume 40.7, and forthcoming Volume 40.8) treating the Generic Case, i.e., the identification of the alternating groups of degree at least 13 and most of the finite simple groups of Lie type and Lie rank at least 4. Moreover, Volumes 40.4-40.8 of this series will provide a complete treatment of the simple groups of odd type, i.e., the alternating groups (with two exceptions) and the groups of Lie type defined over a finite field of odd order, as well as some of the sporadic simple groups. In particular, this volume completes the construction, begun in Volume 40.5, of a collection of neighboring centralizers of a particularly nice form. All of this is then applied to complete the identification of the alternating groups of degree at least 13.The book is suitable for graduate students and researchers interested in the theory of finite groups.

Автор: Daniel Gorenstein, Richard Lyons, Ronald Solomon
Название: The Classification of the Finite Simple Groups, Number 8: Part III, Chapters 12-17: The Generic Case, Completed
ISBN: 1470441896 ISBN-13(EAN): 9781470441890
Издательство: Mare Nostrum (Eurospan)
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Описание: This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series--the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups.Put another way, Theorem O asserts that any minimal counterexample to the classification of the finite simple groups must be of even type. The work of Aschbacher and Smith shows that a minimal counterexample is not of quasithin even type, while this volume shows that a minimal counterexample cannot be of generic even type, modulo the treatment of certain intermediate configurations of even type which will be ruled out in the next volume of our series.

Автор: Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto
Название: Singularities in Generic Geometry
ISBN: 4864970556 ISBN-13(EAN): 9784864970556
Издательство: Mare Nostrum (Eurospan)
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Описание: Contains the proceedings of the workshop "Singularities in Generic Geometry and Applications-Kobe-Kyoto 2015 (Valencia IV)", held in June 2015. The volume consists of fifteen original research articles and three survey articles by specialists in singularity theory and its applications to differential topology and differential geometry.

Автор: ?lvarez L?pez
Название: Generic Coarse Geometry of Leaves
ISBN: 3319941313 ISBN-13(EAN): 9783319941318
Издательство: Springer
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Описание: This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants.