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Algebra: 4 Infinite groups

Group theory is one of the most fundamental branches of mathematics. This volume of the Encyclopaedia is devoted to two important subjects within group theory. The first part of the book is concerned with infinite groups. The authors deal with combinatorial group theory, free constructions through g...

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Weitere Verfasser:	Kostrikin, Aleksej I. 1929-2000 (HerausgeberIn), Šafarevič, Igorʹ R. 1923-2017 (HerausgeberIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin Springer-Verlag Berlin Heidelberg GmbH [1993]
Schriftenreihe:	Encyclopaedia of mathematical sciences volume 37
Schlagworte:	Mathematics Group Theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik
Online-Zugang:	BTU01 TUM01 UBA01 UBT01 Volltext
Zusammenfassung:	Group theory is one of the most fundamental branches of mathematics. This volume of the Encyclopaedia is devoted to two important subjects within group theory. The first part of the book is concerned with infinite groups. The authors deal with combinatorial group theory, free constructions through group actions on trees, algorithmic problems, periodic groups and the Burnside problem, and the structure theory for Abelian, soluble and nilpotent groups. They have included the very latest developments; however, the material is accessible to readers familiar with the basic concepts of algebra. The second part treats the theory of linear groups. It is a genuinely encyclopaedic survey written for non-specialists. The topics covered includethe classical groups, algebraic groups, topological methods, conjugacy theorems, and finite linear groups. This book will be very useful to allmathematicians, physicists and other scientists including graduate students who use group theory in their work.
Beschreibung:	1 Online-Ressource (x, 206 Seiten)
ISBN:	9783662028698
DOI:	10.1007/978-3-662-02869-8

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indexdate	2024-07-10T09:04:45Z
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spelling	Kostrikin, Aleksej I. 1929-2000 (DE-588)1028287658 edt Algebra Algebra 4 Infinite groups A.I. Kostrikin, l.R. Shafarevich (eds.) Berlin Springer-Verlag Berlin Heidelberg GmbH [1993] 1 Online-Ressource (x, 206 Seiten) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of mathematical sciences volume 37 Encyclopaedia of mathematical sciences Group theory is one of the most fundamental branches of mathematics. This volume of the Encyclopaedia is devoted to two important subjects within group theory. The first part of the book is concerned with infinite groups. The authors deal with combinatorial group theory, free constructions through group actions on trees, algorithmic problems, periodic groups and the Burnside problem, and the structure theory for Abelian, soluble and nilpotent groups. They have included the very latest developments; however, the material is accessible to readers familiar with the basic concepts of algebra. The second part treats the theory of linear groups. It is a genuinely encyclopaedic survey written for non-specialists. The topics covered includethe classical groups, algebraic groups, topological methods, conjugacy theorems, and finite linear groups. This book will be very useful to allmathematicians, physicists and other scientists including graduate students who use group theory in their work. Mathematics Group Theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik Šafarevič, Igorʹ R. 1923-2017 (DE-588)119280337 edt (DE-604)BV047175815 4 Erscheint auch als Druck-Ausgabe 978-3-642-08100-2 Encyclopaedia of mathematical sciences volume 37 (DE-604)BV035421342 37 https://doi.org/10.1007/978-3-662-02869-8 Verlag URL des Erstveröffentlichers Volltext Linear groups
spellingShingle	Algebra Encyclopaedia of mathematical sciences Mathematics Group Theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik
title	Algebra
title_alt	Algebra
title_auth	Algebra
title_exact_search	Algebra
title_exact_search_txtP	Algebra
title_full	Algebra 4 Infinite groups A.I. Kostrikin, l.R. Shafarevich (eds.)
title_fullStr	Algebra 4 Infinite groups A.I. Kostrikin, l.R. Shafarevich (eds.)
title_full_unstemmed	Algebra 4 Infinite groups A.I. Kostrikin, l.R. Shafarevich (eds.)
title_short	Algebra
title_sort	algebra infinite groups
topic	Mathematics Group Theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik
topic_facet	Mathematics Group Theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik
url	https://doi.org/10.1007/978-3-662-02869-8
volume_link	(DE-604)BV047175815 (DE-604)BV035421342
work_keys_str_mv	AT kostrikinalekseji algebra AT safarevicigorʹr algebra AT kostrikinalekseji algebra4 AT safarevicigorʹr algebra4

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