Automorphisms Of Finitely Generated Nilpotent Groups

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Automorphisms Of Finitely Generated Nilpotent Groups

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Author : Ursula Hilda Mary Webb
language : en
Publisher:
Release Date : 2020

Automorphisms Of Finitely Generated Nilpotent Groups written by Ursula Hilda Mary Webb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Automorphisms categories.

The Theory Of Nilpotent Groups

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Author : Anthony E. Clement
language : en
Publisher: Birkhäuser
Release Date : 2017-11-18

The Theory Of Nilpotent Groups written by Anthony E. Clement and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-18 with Mathematics categories.

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic. While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume. Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them. Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms. Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

Nilpotent Groups And Their Automorphisms

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Author : Evgenii I. Khukhro
language : en
Publisher: Walter de Gruyter
Release Date : 2011-04-20

Nilpotent Groups And Their Automorphisms written by Evgenii I. Khukhro and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-20 with Mathematics categories.

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Nilpotent Groups

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Author : Philip Hall
language : en
Publisher:
Release Date : 1979

Nilpotent Groups written by Philip Hall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Algebra, Universal categories.

Nilpotent Groups

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Author : Philip Hall
language : en
Publisher: London, Queen Mary College, Mathematics Department
Release Date : 1969

Nilpotent Groups written by Philip Hall and has been published by London, Queen Mary College, Mathematics Department this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Algebra, Universal categories.

Lectures On Finitely Generated Solvable Groups

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Author : Katalin A. Bencsath
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-28

Lectures On Finitely Generated Solvable Groups written by Katalin A. Bencsath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-28 with Mathematics categories.

Lectures on Finitely Generated Solvable Groups are based on the “Topics in Group Theory" course focused on finitely generated solvable groups that was given by Gilbert G. Baumslag at the Graduate School and University Center of the City University of New York. While knowledge about finitely generated nilpotent groups is extensive, much less is known about the more general class of solvable groups containing them. The study of finitely generated solvable groups involves many different threads; therefore these notes contain discussions on HNN extensions; amalgamated and wreath products; and other concepts from combinatorial group theory as well as commutative algebra. Along with Baumslag’s Embedding Theorem for Finitely Generated Metabelian Groups, two theorems of Bieri and Strebel are presented to provide a solid foundation for understanding the fascinating class of finitely generated solvable groups. Examples are also supplied, which help illuminate many of the key concepts contained in the notes. Requiring only a modest initial group theory background from graduate and post-graduate students, these notes provide a field guide to the class of finitely generated solvable groups from a combinatorial group theory perspective.​

Theory Of Nilpotent Groups

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Author : Richard Tolimieri
language : en
Publisher:
Release Date : 1971

Theory Of Nilpotent Groups written by Richard Tolimieri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Group theory categories.

Varieties Of Representations Of Finitely Generated Groups

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Author : Alexander Lubotzky
language : en
Publisher: American Mathematical Soc.
Release Date : 1985

Varieties Of Representations Of Finitely Generated Groups written by Alexander Lubotzky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

The n-dimensional representations, over an algebraically closed characteristic zero field k, of a finitely generated group are parameterized by an affine algebraic variety over k. The tangent spaces of this variety are subspaces of spaces of one-cocycles and thus the geometry of the variety is locally related to the cohomology of the group. The cohomology is also related to the prounipotent radical of the proalgebraic hull of the group. This paper exploits these two relations to compute dimensions of representation varieties, especially for nilpotent groups and their generalizations. It also presents the foundations of the theory of representation varieties in an expository, self-contained manner.

Infinite Soluble And Nilpotent Groups

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Author : Derek John Scott Robinson
language : en
Publisher:
Release Date : 1968

Infinite Soluble And Nilpotent Groups written by Derek John Scott Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Group theory categories.

On Finitely Generated Nilpotent Groups And Their Subgroups

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Author : Bryan Glenn Sandor
language : en
Publisher:
Release Date : 2017

On Finitely Generated Nilpotent Groups And Their Subgroups written by Bryan Glenn Sandor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Electronic dissertations categories.

In this work we investigate nilpotent groups $G$ in which all proper subgroups (or all subgroups of infinite index) have class smaller than the class of $G$. Our main results are obtained by considering analagous questions for Lie algebras and using the Lazard correspondence and the Mal'cev correspondence. Among other things, for each $n \geq 3$, we prove the existence of nilpotent groups of class $2 n$ in which every proper subgroup (or subgroup of infinite index) has class at most $n$.