engleski

Finite 2-groups all of whose proper subgroups have commutator groups of order ≤ 2.

We classified the 2-groups G all of whose maximal subgroups have commutators of order ≤ 2. There are four general cases, the commutator group G' being elementary of order 2, 4 (two cases) or 8, respectively. We investigated them and found out some structural properties of such groups.

finite group; 2-groups; commutator group; Frattini subgroup

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