Automorphism Groups Of Free Metabelian Nilpotent Groups And Lie Algebras
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Automorphism Groups Of Free Metabelian Nilpotent Groups And Lie Algebras
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Author : Athanassios I. Papistas
language : en
Publisher:
Release Date : 1993
Automorphism Groups Of Free Metabelian Nilpotent Groups And Lie Algebras written by Athanassios I. Papistas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Automorphism Groups Of Free Metabelian Nilpotent Groups
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Author :
language : en
Publisher:
Release Date : 1901
Automorphism Groups Of Free Metabelian Nilpotent Groups written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1901 with categories.
For positive integers 'n' and 'c', let ' Fn' be the free group of rank 'n', ' Fn, c' the free nilpotent group of class 'c' and rank 'n', and 'Mn, c' the free metabelian and nilpotent-of-class-'c' group of rank ' n'. In this thesis, we give a set of generators of Aut ('F n, c') and a set of generators of Aut ('Mn, c') for any positive integers 'n' and 'c'. Although these generating sets are not minimal, they are small to some extent and are adequate for presentations. We also give a minimal generating set of Aut (' F'2,4) which is used to give a presentation in the text. For 'c' = 4, a two generator free nilpotent group of class 'c' is also metabelian. For 'c'= 5, a two generator free nilpotent group of class 'c' is not metabelian. We give presentations of Aut ('F''2,c') for 'c'
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
Automorphism Groups Of Free Metabelian Nilpotent Groups
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Author : Wan Lin
language : en
Publisher:
Release Date : 1999
Automorphism Groups Of Free Metabelian Nilpotent Groups written by Wan Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with 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.
Canadian Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1990-04
Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04 with categories.
Automorphism Groups Of Nilpotent Groups And Lie Algebras
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Author : A. P. Papistas
language : en
Publisher:
Release Date : 1987
Automorphism Groups Of Nilpotent Groups And Lie Algebras written by A. P. Papistas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Algebra Iv
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Author : A.I. Kostrikin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebra Iv written by A.I. Kostrikin 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 2012-12-06 with Mathematics categories.
Group theory is one of the most fundamental branches of mathematics. This highly accessible volume of the Encyclopaedia is devoted to two important subjects within this theory. Extremely useful to all mathematicians, physicists and other scientists, including graduate students who use group theory in their work.
Algebra
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Author : I.B.S. Passi
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Algebra written by I.B.S. Passi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The Indian National. Science Academy has planned to bring out monographs on special topics with the aim of providing acce~sible surveys/reviews of topics of current research in various fields. Prof. S.K. Malik, FNA, Editor of Publications INSA asked me in October 1997 to edit a volume on algebra in this series. I invited a number of algebraists, several of them working in group rings, and it is with great satisfaction and sincere thanks to the authors that I present here in Algebra: Some Recent Advances the sixteen contributions received in response to my invitations. I.B.S. Passi On Abelian Difference Sets K. r Arasu* and Surinder K. Sehgal 1. Introduction We review some existence and nonexistence results - new and old - on abelian difference sets. Recent surveys on difference sets can be found in Arasu (1990), Jungnickel (1992a, b), Pott (1995), Jungnickel and Schmidt (1997), and Davis and Jedwab (1996). Standard references for difference sets are Baumert (1971), Beth et al. (1998), and Lander (1983). This article presents a flavour of the subject, by discussing some selected topics. Difference sets are very important in combinatorial design theory and in commu nication engineering while designing sequences with good correlation properties. Our extended bibliography covers a wide variety of papers written in the area of difference sets and related topics.
Identical Relations In Lie Algebras
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Author : Yuri Bahturin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-08-23
Identical Relations In Lie Algebras written by Yuri Bahturin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-23 with Mathematics categories.
This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.