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On local formations of finite groups.

by Lam Chak Ming. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 76-79). / Abstracts in English and Chinese. / Chapter 0 --- Introduction --- p.5 / Chapter 1 --- Background Knowledge of Group Theory --- p.7 / Chapter 1.1 --- Some Basic Results --- p.7 / Chapter 1.2 --- Solvable Groups --- p.13 / Chapter 1.3 --- Nilpotent groups and some useful results --- p.15 / Chapter 2 --- Theory of Formations --- p.21 / Chapter 2.1 --- Some Basic Results of Formations --- p.21 / Chapter 2.2 --- X-covering subgroups and X-projectors --- p.23 / Chapter 2.3 --- The Conjugacy of F-Covering Subgroups --- p.32 / Chapter 2.4 --- F-Normalizers --- p.36 / Chapter 3 --- Local Formations --- p.47 / Chapter 3.1 --- The Construction of Local Formations --- p.47 / Chapter 3.2 --- The Stability of Formations --- p.51 / Chapter 3.3 --- The Complements of F-coradicals --- p.57 / Chapter 3.4 --- Minimal non-F-groups --- p.59 / Chapter 4 --- Finite Groups With Given Minimal Subgroups --- p.66 / Chapter 4.1 --- C-normality of Groups --- p.66 / Chapter 4.2 --- A Generalized Version of Ito's Theorem --- p.70 / Bibliography --- p.76

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323498
Date January 2001
ContributorsLam, Chak Ming., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 79 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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