Some Results on Maximal Subgroups and Admissible Subgroups

doi:10.13438/j.cnki.jdzk.2025.03.002

Abstract

Abstract: Starting from solvable groups and combining the definitions of maximal subgroups and admissible subgroups,this paper investigats the quantitative relationship between maximal subgroups and admissible subgroups in groups of order p,groups of order pq,finite cyclic groups,simple groups A₅ and the 5th-order symmetric group S₅.

Key words: maximal subgroup, admissible subgroup, solvable group, simple group, symmetric group

ZHAO Jia, HUANG Xiao. Some Results on Maximal Subgroups and Admissible Subgroups[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(3): 5-8.

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