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Minimal nonabelian and maximal subgroups of a finite p-group
2008
Glasnik Matematicki - Serija III
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The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal class, are classified (Theorem 2.1). For the main result of [CP] and [ZAX] classifying the p-groups all of whose proper nonabelian subgroups are metacyclic, we offer a proof which is shorter and not so involved. In conclusion we study, in some detail, the p-groups containing an abelian maximal subgroup. 2000 Mathematics Subject Classification. 20D15.
doi:10.3336/gm.43.1.07
fatcat:g3yj4ra7ybeljevn4ndrwhzqdm