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Language: English
Published by John Wiley and Sons Inc, US, 2017
ISBN 10: 1119080274 ISBN 13: 9781119080275
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Hardback. Condition: New. 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.
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Language: English
Published by John Wiley & Sons Inc, 2017
ISBN 10: 1119080274 ISBN 13: 9781119080275
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Published by John Wiley and Sons Inc, US, 2017
ISBN 10: 1119080274 ISBN 13: 9781119080275
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Hardback. Condition: New. 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.
Language: English
Published by Chapman and Hall/CRC, 2023
ISBN 10: 0367702622 ISBN 13: 9780367702625
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Published by Taylor & Francis Ltd, 2020
ISBN 10: 1138542806 ISBN 13: 9781138542808
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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 314 | Sprache: Englisch | Produktart: Bücher | Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional linear groups is one of the best developed algebraic theories. The array of articles devoted to this topic is enormous, and there are many monographs concerned with matrix groups, ranging from old, classical texts to ones published more recently. However, in the case when the dimension is infinite (and such cases arise quite often), the reality is quite different. The situation with the study of infinite dimensional linear groups is like the situation that has developed in the theory of groups, in the transition from the study of finite groups to the study of infinite groups which appeared about one hundred years ago. It is well known that this transition was extremely efficient and led to the development of a rich and central branch of algebra: Infinite group theory.The hope is that this book can be part of a similar transition in the field of linear groups.FeaturesThis is the first book dedicated to infinite-dimensional linear groupsThis is written for experts and graduate students specializing in algebra and parallel disciplinesThis book discusses a very new theory and accumulates many important and useful results.
Language: English
Published by Chapman and Hall/CRC, 2020
ISBN 10: 1138542806 ISBN 13: 9781138542808
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Condition: New. MARTYN R. DIXON, PhD, is Professor in the Department of Mathematics at the University of Alabama, Tuscaloosa. He has authored more than sixty published journal articles on infinite group theory, formation theory and Fitting classes, wreath products, and aut.
Language: English
Published by Chapman and Hall/CRC, 2020
ISBN 10: 1138542806 ISBN 13: 9781138542808
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Published by John Wiley & Sons Inc, 2010
ISBN 10: 0470496363 ISBN 13: 9780470496367
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Published by Chapman and Hall/CRC, 2023
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