Frattini subgroups and supernilpotent groups |
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Authors: | W. Mack Hill |
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Affiliation: | 1. Worcester State College, 01602, Worcester, MA, USA
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Abstract: | In the context of the problem of which nonabelianp-groups can occur as normal subgroups contained in Frattini subgroups, the family of supernilpotent groups (all maximal subgroups characteristic) is investigated. Results of this investigation are applied to the Frattini-embedding problem, incorporating recent work of A. R. Makan. The groups of order 2n (n ≦ 6) have been examined with respect to supernilpotence and their occurrence as normal subgroups contained in Frattini subgroups. Results of this examination are presented. |
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