FINITE P −GROUPS WITH SMALL NORMAL ABELIAN SUBGROUPS
DOI:
https://doi.org/10.60787/jnamp.vol67no2.433Keywords:
Minimal nonabelian groups, Normal subgroups, Dedekindian groupAbstract
Let pa(X) be the maximal order of a minimal non-abelian subgroup X of a finite p-group G.
We classify the p-groups G all of whose abelian subgroups of order ≤ pa(X)-3 are normal.
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