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	STUDIES ON DEFECT-GROUPS
	ZHANG, JP
	1994
英文摘要	The main results of this paper are as follows: THEOREM 1. If G is a finite group with a strongly p-embedded subgroup then G has a p-block of defect zero. The theorem solves a problem of Alperin. THEOREM 5. Let G be a finite group and D, a p-subgroup of G such that NG(D)ID has a strongly p-embedded subgroup, then D is a defect group for some p-block of G if and only if there exists a p'-element x in G such that D is a Sylow p-subgroup of C(G)(x). COROLLARY 6. If G is a finite group with am abelian Sylow p-subgroup then every strong p-subgroup of G is a defect group for some p-block of G. In particular every maximal Sylow p-intersection of G is a defect group. (C) 1994 Academic Press, Inc.; Mathematics; SCI(E); 4; ARTICLE; 2; 310-316; 166
语种	英语
出处	SCI
出版者	journal of algebra
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/258555]
专题	数学科学学院
推荐引用方式 GB/T 7714	ZHANG, JP. STUDIES ON DEFECT-GROUPS. 1994-01-01.

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