Absolutely regular p-group

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition

A p-group G is termed an absolutely regular p-group if |G/\mho^1(G)| \le p^{p-1}, where \mho^1(G) denotes the first agemo subgroup of G, i.e., the subgroup of G generated by g^p, g \in G.

Relation with other properties

Stronger properties

Weaker properties