Gamma 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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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions


This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]

Definition

Definition with symbols

A finite non-Abelian group G is termed a \Gamma-group if G = NP where N is a normal elementary Abelian 2-subgroup and P is a cyclic group of prime order acting irreducibly on N (in other words, no proper subgroup of N is P-invariant).