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Automorphisms of Finite Groups, Inder Bir Singh Passi; Mahender Singh; Manoj Kumar


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Автор: Inder Bir Singh Passi; Mahender Singh; Manoj Kumar
Название:  Automorphisms of Finite Groups
ISBN: 9789811328947
Издательство: Springer
Классификация:




ISBN-10: 9811328943
Обложка/Формат: Hardcover
Страницы: 217
Вес: 0.53 кг.
Дата издания: 2018
Серия: Springer Monographs in Mathematics
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 1 illustrations, black and white; xix, 217 p. 1 illus.
Размер: 234 x 156 x 14
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.
Дополнительное описание: Introduction.- p-groups.- Fundamental exact sequence of Wells.- Automorphism groups of finite groups.- Groups with Divisibility Property-I.- Groups with Divisibility Property-II.- Groups without Divisibility Property.



p-Automorphisms of Finite p-Groups

Автор: Evgenii I. Khukhro
Название: p-Automorphisms of Finite p-Groups
ISBN: 052159717X ISBN-13(EAN): 9780521597173
Издательство: Cambridge Academ
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Цена: 7443.00 р.
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Описание: Suitable for graduate students and researchers working in the fields of group theory and Lie rings. Relevant preliminary material on Lie rings is introduced followed by the main theorems of the book on the solubility of finite p-groups. Includes over a hundred exercises.

Algorithmic and Geometric Topics Around Free Groups and Automorphisms

Автор: Javier Aramayona; Volker Diekert; Christopher J. L
Название: Algorithmic and Geometric Topics Around Free Groups and Automorphisms
ISBN: 3319609394 ISBN-13(EAN): 9783319609393
Издательство: Springer
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Цена: 3492.00 р.
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Описание:

This volume presents the lecture notes from the authors' three summer courses offered during the program "Automorphisms of Free Groups: Geometry, Topology, and Dynamics," held at the Centre de Recerca Matem tica (CRM) in Bellaterra, Spain.

The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon's construction of Thurston's compactification of Teichm ller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.

Automorphisms and Equivalence Relations in Topological Dynamics

Автор: Ellis
Название: Automorphisms and Equivalence Relations in Topological Dynamics
ISBN: 1107633222 ISBN-13(EAN): 9781107633223
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: An original and self-contained treatment of some key ideas in the abstract theory of topological dynamics, focussing on the role of automorphisms and equivalence relations. This approach leads to simpler proofs of classical results and provides motivation for further study, making this lucid book ideal for graduate students and researchers.

Fixed Rings of Finite Automorphism Groups of Associative Rings

Автор: S. Montgomery
Название: Fixed Rings of Finite Automorphism Groups of Associative Rings
ISBN: 3540102329 ISBN-13(EAN): 9783540102328
Издательство: Springer
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Цена: 3492.00 р.
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C*-Algebras and their Automorphism Groups

Автор: Eilers, S?ren
Название: C*-Algebras and their Automorphism Groups
ISBN: 0128141220 ISBN-13(EAN): 9780128141229
Издательство: Elsevier Science
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Цена: 19875.00 р.
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Описание: This elegantly edited landmark edition of Gert Kj?rg?rd Pedersen’s C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen’s monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of S?ren Eilers and Dorte Olesen, the second edition modernizes Pedersen’s work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author’s later work.

Cyclic Renormalization and Automorphism Groups of Rooted Trees

Автор: Hyman Bass; Maria V. Otero-Espinar; Daniel Rockmor
Название: Cyclic Renormalization and Automorphism Groups of Rooted Trees
ISBN: 3540605959 ISBN-13(EAN): 9783540605959
Издательство: Springer
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Цена: 4890.00 р.
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Описание: The theme of this monograph is an interplay between dynamical systems and group theory. The normal subgroup structure of the automorhpism groups of such "spherically homogenous" rooted trees is investigated in detail.

Automorphism Groups of Compact Bordered Klein Surfaces

Автор: Emilio Bujalance; Jose J. Etayo; Jose M. Gamboa; G
Название: Automorphism Groups of Compact Bordered Klein Surfaces
ISBN: 3540529411 ISBN-13(EAN): 9783540529415
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Discusses the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S.


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