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On complemented subgroups of finite groups

Long Miao — 2006

Czechoslovak Mathematical Journal

A subgroup H of a group G is said to be complemented in G if there exists a subgroup K of G such that G = H K and H K = 1 . In this paper we determine the structure of finite groups with some complemented primary subgroups, and obtain some new results about p -nilpotent groups.

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