Generalized Solvable And Nilpotent Groups
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Generalized Solvable And Nilpotent Groups
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Author : Gary Wayne Parker
language : en
Publisher:
Release Date : 1969
Generalized Solvable And Nilpotent Groups written by Gary Wayne Parker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Group theory categories.
Generalized Solvable And Generalized Nilpotent Groups
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Author : Boris Isaakovich Plotkin
language : en
Publisher:
Release Date : 1961
Generalized Solvable And Generalized Nilpotent Groups written by Boris Isaakovich Plotkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Finiteness Conditions And Generalized Soluble Groups
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Author : Derek J.S. Robinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Finiteness Conditions And Generalized Soluble Groups written by Derek J.S. Robinson 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 2013-06-29 with Mathematics categories.
This book is a study of group theoretical properties of two disparate kinds, firstly finiteness conditions or generalizations of finiteness and secondly generalizations of solubility or nilpotence. It will be particularly interesting to discuss groups which possess properties of both types. The origins of the subject may be traced back to the nineteen twenties and thirties and are associated with the names of R. Baer, S.N. Cernikov, K.A. Hirsch, A.G. Kuros, 0.]. Schmidt and H. Wielandt. Since this early period, the body of theory has expanded at an increasingly rapid rate through the efforts of many group theorists, particularly in Germany, Great Britain and the Soviet Union. Some of the highest points attained can, perhaps, be found in the work of P. Hall and A.I. Mal'cev on infinite soluble groups. Kuras's well-known book "The theory of groups" has exercised a strong influence on the development of the theory of infinite groups: this is particularly true of the second edition in its English translation of 1955. To cope with the enormous increase in knowledge since that date, a third volume, containing a survey of the contents of a very large number of papers but without proofs, was added to the book in 1967
Finiteness Conditions And Generalized Soluble Groups
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Author : Derek J.S. Robinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Finiteness Conditions And Generalized Soluble Groups written by Derek J.S. Robinson 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 2013-03-14 with Mathematics categories.
This book is a study of group theoretical properties of two dis parate kinds, firstly finiteness conditions or generalizations of fini teness and secondly generalizations of solubility or nilpotence. It will be particularly interesting to discuss groups which possess properties of both types. The origins of the subject may be traced back to the nineteen twenties and thirties and are associated with the names of R. Baer, S. N. Cernikov, K. A. Hirsch, A. G. Kuros, 0.]. Schmidt and H. Wie landt. Since this early period, the body of theory has expanded at an increasingly rapid rate through the efforts of many group theorists, particularly in Germany, Great Britain and the Soviet Union. Some of the highest points attained can, perhaps, be found in the work of P. Hall and A. I. Mal'cev on infinite soluble groups. Kuras's well-known book "The theory of groups" has exercised a strong influence on the development of the theory of infinite groups: this is particularly true of the second edition in its English translation of 1955. To cope with the enormous increase in knowledge since that date, a third volume, containing a survey of the contents of a very large number of papers but without proofs, was added to the book in 1967.
The Effect Of A Cz Group Structure On Certain Generalized Solvable And Generalized Nilpotent Classes Of Groups
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Author : Donald Leon Pigg
language : en
Publisher:
Release Date : 1975
The Effect Of A Cz Group Structure On Certain Generalized Solvable And Generalized Nilpotent Classes Of Groups written by Donald Leon Pigg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Group schemes (Mathematics) categories.
Finiteness Conditions And Generalized Soluble Groups
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Author : Derek J.S. Robinson
language : en
Publisher: Springer
Release Date : 1972-09-20
Finiteness Conditions And Generalized Soluble Groups written by Derek J.S. Robinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-09-20 with Mathematics categories.
Between Nilpotent And Solvable
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Author : Henry G. Bray
language : en
Publisher: Polygonal Publishing House
Release Date : 1982
Between Nilpotent And Solvable written by Henry G. Bray and has been published by Polygonal Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Finiteness Conditions And Generalized Soluble Groups
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Author : Derek Robinson
language : en
Publisher: Springer
Release Date : 2010-10-19
Finiteness Conditions And Generalized Soluble Groups written by Derek Robinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-19 with Mathematics categories.
Ranks Of Groups
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Author : Martyn R. Dixon
language : en
Publisher: John Wiley & Sons
Release Date : 2017-06-15
Ranks Of Groups written by Martyn R. Dixon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-15 with Mathematics categories.
A comprehensive guide to ranks and group theory Ranks of Groups features a logical, straightforward presentation, beginning with a succinct discussion of the standard ranks before moving on to specific aspects of ranks of groups. Topics covered include section ranks, groups of finite 0-rank, minimax rank, special rank, groups of finite section p-rank, groups having finite section p-rank for all primes p, groups of finite bounded section rank, groups whose abelian subgroups have finite rank, groups whose abelian subgroups have bounded finite rank, finitely generated groups having finite rank, residual properties of groups of finite rank, groups covered by normal subgroups of bounded finite rank, and theorems of Schur and Baer. This book presents fundamental concepts and notions related to the area of ranks in groups. Class-tested worldwide by highly qualified authors in the fields of abstract algebra and group theory, this book focuses on critical concepts with the most interesting, striking, and central results. In order to provide readers with the most useful techniques related to the various different ranks in a group, the authors have carefully examined hundreds of current research articles on group theory authored by researchers around the world, providing an up-to-date, comprehensive treatment of the subject. • All material has been thoroughly vetted and class-tested by well-known researchers who have worked in the area of rank conditions in groups • Topical coverage reflects the most modern, up-to-date research on ranks of groups • Features a unified point-of-view on the most important results in ranks obtained using various methods so as to illustrate the role those ranks play within group theory • Focuses on the tools and methods concerning ranks necessary to achieve significant progress in the study and clarification of the structure of groups Ranks of Groups: The Tools, Characteristics, and Restrictions is an excellent textbook for graduate courses in mathematics, featuring numerous exercises, whose solutions are provided. This book will be an indispensable resource for mathematicians and researchers specializing in group theory and abstract algebra. MARTYN R. DIXON, PhD, is Professor in the Department of Mathematics at the University of Alabama. LEONID A. KURDACHENKO, PhD, DrS, is Distinguished Professor and Chair of the Department of Algebra at the University of Dnepropetrovsk, Ukraine. IGOR YA SUBBOTIN, PhD, is Professor in the Department of Mathematics and Natural Sciences at National University in Los Angeles, California.
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.