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" Finite and Locally Finite Groups "
edited by B. Hartley, G.M. Seitz, A.V. Borovik, R.M. Bryant.
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BL
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| Record Number
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774644
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b594639
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| Main Entry
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edited by B. Hartley, G.M. Seitz, A.V. Borovik, R.M. Bryant.
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| Title & Author
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Finite and Locally Finite Groups\ edited by B. Hartley, G.M. Seitz, A.V. Borovik, R.M. Bryant.
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| Publication Statement
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Dordrecht : Springer Netherlands : Imprint : Springer, 1995
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| Series Statement
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NATO ASI series., Series C,, Mathematical and physical sciences ;, 471.
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| Page. NO
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(470 pages)
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| ISBN
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9401041458
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: 9401103291
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: 9789401041454
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: 9789401103299
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| Contents
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Simple locally finite groups --; Algebraic groups --; Subgroups of simple algebraic groups and related finite and locally finite groups of Lie type --; Finite simple groups and permutation groups --; Finitary linear groups: a survey --; Locally finite simple groups of finitary linear transformations --; Non-finitary locally finite simple groups --; Inert subgroups in simple locally finite groups --; Group rings of simple locally finite groups --; Simple locally finite groups of finite Morley rank and odd type --; Existentially closed groups in specific classes --; Groups acting on polynomial algebras --; Characters and sets of primes for solvable groups --; Character theory and length problems --; Finite p-groups.
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| Abstract
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This book provides an extensive introduction to recent progress in the theory of locally finite groups, algebraic groups, and finite groups of Lie type. Fifteen specialists in the field have written survey articles covering the major themes of the subject, such as the theory of simple locally finite groups and the theory of finitary linear groups. The articles are based on lectures given at the highly successful NATO ASI held in Istanbul in August 1994 and organized by the late Brian Hartley. <br/> The book which is accessible to graduate students and others with limited specialist knowledge, reaches the frontiers of current research in this rapidly developing area. Most of the main results of the subject are stated and discussed, including results not yet published elsewhere and a number of open problems are formulated which are likely to stimulate future research. The book will thus be of great interest to all research workers in group theory.
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| Subject
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Finite groups -- Congresses.
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| Subject
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Finite groups.
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A V Borovik
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B Hartley
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G M Seitz
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R M Bryant
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| Parallel Title
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Proceedings of the NATO Advanced Study Institute, Istanbul, Turkey, 14--27 August 1994
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