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The Local Structure for Finite Groups With a Large $p$-Subgroup, U. Meierfrankenfeld, B. Stellmacher, G. Stroth


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Автор: U. Meierfrankenfeld, B. Stellmacher, G. Stroth
Название:  The Local Structure for Finite Groups With a Large $p$-Subgroup
ISBN: 9781470418779
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470418770
Обложка/Формат: Paperback
Страницы: 342
Вес: 0.00 кг.
Дата издания: 30.06.2016
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry
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Поставляется из: Англии
Описание: Let $p$ be a prime, $G$ a finite $\mathcal{K}_p$-group $S$ a Sylow $p$-subgroup of $G$ and $Q$ a large subgroup of $G$ in $S$ (i.e., $C_G(Q) \leq Q$ and $N_G(U) \leq N_G(Q)$ for $1 \ne U \leq C_G(Q)$). Let $L$ be any subgroup of $G$ with $S\leq L$, $O_p(L)\neq 1$ and $Q\ntrianglelefteq L$. In this paper the authors determine the action of $L$ on the largest elementary abelian normal $p$-reduced $p$-subgroup $Y_L$ of $L$.

Subgroup Growth

Автор: Alexander Lubotzky; Dan Segal
Название: Subgroup Growth
ISBN: 3034898460 ISBN-13(EAN): 9783034898461
Издательство: Springer
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Цена: 51230.00 T
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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.

On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

Автор: Alastair J. Litterick
Название: On Non-Generic Finite Subgroups of Exceptional Algebraic Groups
ISBN: 1470428377 ISBN-13(EAN): 9781470428372
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: The study of finite subgroups of a simple algebraic group $G$ reduces in a sense to those which are almost simple. If an almost simple subgroup of $G$ has a socle which is not isomorphic to a group of Lie type in the underlying characteristic of $G$, then the subgroup is called non-generic. This paper considers non-generic subgroups of simple algebraic groups of exceptional type in arbitrary characteristic.

Complementation of Normal Subgroups: In Finite Groups

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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Описание:

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.

Contents
Prerequisites
The Schur-Zassenhaus theorem: A bit of history and motivation
Abelian and minimal normal subgroups
Reduction theorems
Subgroups in the chief series, derived series, and lower nilpotent series
Normal subgroups with abelian sylow subgroups
The formation generation
Groups with specific classes of subgroups complemented


Discrete Subgroups of Lie Groups

Автор: Madabusi S. Raghunathan
Название: Discrete Subgroups of Lie Groups
ISBN: 3642864287 ISBN-13(EAN): 9783642864285
Издательство: Springer
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Цена: 111790.00 T
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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.

Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces

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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Цена: 74850.00 T
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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.

Discrete Subgroups of Semisimple Lie Groups

Автор: Gregori A. Margulis
Название: Discrete Subgroups of Semisimple Lie Groups
ISBN: 3642057217 ISBN-13(EAN): 9783642057212
Издательство: Springer
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Цена: 167660.00 T
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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.

Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups

Автор: Matthew J. Emerton
Название: Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups
ISBN: 0821875620 ISBN-13(EAN): 9780821875629
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Provides the foundations for the locally analytic representation theory that is required in three of the author`s other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors.

Igusa`s $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities

Автор: Bart Bories, Willem Veys
Название: Igusa`s $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
ISBN: 147041841X ISBN-13(EAN): 9781470418410
Издательство: Mare Nostrum (Eurospan)
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Цена: 84090.00 T
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Описание: In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa`s $p$-adic and the motivic zeta function.

Towards a Modulo $p$ Langlands Correspondence for GL$_2$

Автор: Christophe Breuil, Vytautas Paskunas
Название: Towards a Modulo $p$ Langlands Correspondence for GL$_2$
ISBN: 0821852272 ISBN-13(EAN): 9780821852279
Издательство: Mare Nostrum (Eurospan)
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Цена: 70230.00 T
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Описание: "March 2012, volume 216, number 1016 (second of 4 numbers)."


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