Provides a collection of uniqueness and pre-uniqueness theorems for G , with chapters on general lemmas, strongly embedded subgroups and related conditions on involutions, p -component uniqueness theorems, and properties of K -groups. Topics include permutation groups, the fundamental 2-uniqueness theorem of Michael Aschbacher and its three corollaries, theorems SA and SF of Goldschmidt and Holt, and K -groups M whose set of involutions is permuted transitively by some subgroup of M of odd order. Includes a glossary. Annotation c. by Book News, Inc., Portland, Or.
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hardcover. Zustand: Sehr gut. Seiten; 9780821813799.2 Gewicht in Gramm: 1. Bestandsnummer des Verkäufers 1147173
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Zustand: New. Presents the analysis of a minimal counterexample $G$ to the theorem. This book examines the Bender-Suzuki theorem on strongly embedded subgroups (for which the non-character-theoretic part of the proof is provided) and Aschbacher's Component theorem. Editor(s): Gorenstein, Daniel; Solomon, Ronald. Series: Mathematical Surveys and Monographs. Num Pages: 341 pages, glossary, index. BIC Classification: PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 850. . 1999. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821813799
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Hardback. Zustand: New. After three introductory volumes on the classification of the finite simple groups, (""Mathematical Surveys and Monographs, Volumes 40.1, 40.2, and 40.3""), the authors now start the proof of the classification theorem: They begin the analysis of a minimal counterexample $G$ to the theorem. Two fundamental and powerful theorems in finite group theory are examined: the Bender-Suzuki theorem on strongly embedded subgroups (for which the non-character-theoretic part of the proof is provided) and Aschbacher's Component theorem.Included are new generalizations of Aschbacher's theorem which treat components of centralizers of involutions and $p$-components of centralizers of elements of order $p$ for arbitrary primes $p$. This book, with background from sections of the previous volumes, presents in an approachable manner critical aspects of the classification of finite simple groups. Features: Treatment of two fundamental and powerful theorems in finite group theory. Proofs that are accessible and largely self-contained. New results generalizing Aschbacher's Component theorem and related component uniqueness theorems. Bestandsnummer des Verkäufers LU-9780821813799
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Zustand: New. Presents the analysis of a minimal counterexample $G$ to the theorem. This book examines the Bender-Suzuki theorem on strongly embedded subgroups (for which the non-character-theoretic part of the proof is provided) and Aschbacher's Component theorem. Editor(s): Gorenstein, Daniel; Solomon, Ronald. Series: Mathematical Surveys and Monographs. Num Pages: 341 pages, glossary, index. BIC Classification: PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 850. . 1999. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821813799
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Hardback. Zustand: New. After three introductory volumes on the classification of the finite simple groups, (""Mathematical Surveys and Monographs, Volumes 40.1, 40.2, and 40.3""), the authors now start the proof of the classification theorem: They begin the analysis of a minimal counterexample $G$ to the theorem. Two fundamental and powerful theorems in finite group theory are examined: the Bender-Suzuki theorem on strongly embedded subgroups (for which the non-character-theoretic part of the proof is provided) and Aschbacher's Component theorem.Included are new generalizations of Aschbacher's theorem which treat components of centralizers of involutions and $p$-components of centralizers of elements of order $p$ for arbitrary primes $p$. This book, with background from sections of the previous volumes, presents in an approachable manner critical aspects of the classification of finite simple groups. Features: Treatment of two fundamental and powerful theorems in finite group theory. Proofs that are accessible and largely self-contained. New results generalizing Aschbacher's Component theorem and related component uniqueness theorems. Bestandsnummer des Verkäufers LU-9780821813799
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Zustand: gut. 1999. The Classification of the Finite Simple Groups: Uniqueness Theorems (Mathematical Surveys & Monographs) In englischer Sprache. pages. Bestandsnummer des Verkäufers BN338945
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