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Finnegan, Conor; Higgs, Russell J.
Communications in algebra, 07/2023, Volume: 51, Issue: 7Journal Article
Let ω be a 2-cocycle of a metacyclic p-group G representing a non-trivial element of the Schur multiplier Then the number of ω-regular conjugacy classes of G, the subgroup consisting of the ω-regular elements in the center of G, the degree of each irreducible ω-character of G and a representation group H of G with M(H) trivial are all determined. Finally, for ω constructed from H, the projective character table of G corresponding to ω is found in the case that G is of positive type. Communicated by Mark Lewis
