Generalized Camina 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

Definition with symbols

A group G is termed a generalized Camina group if the following holds. Let Z(G) be the center of G and [G,G] be the commutator subgroup of G. Then, for g \notin [G,G]Z(G), the coset g[G,G] is a single conjugacy class.

Relation with other properties

Stronger properties

Related properties