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Characters of finite groups with dihedral Sylow 2-subgroups

โœ Scribed by Helmut Bender; George Glauberman


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
694 KB
Volume
70
Category
Article
ISSN
0021-8693

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A subgroup H is said to be c-supplemented in group G if there exists a subgroup K of G such that HK = G and H n K is contained in Corea(H ). We determine the structure of finite groups with some subgroups of Sylow groups c-supplemented ill a.

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## dedicated to john cossey on the occasion of his 60th birthday An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgrou