On projective characters of the same degree
1998 ◽
Vol 40
(3)
◽
pp. 431-434
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All groups G considered in this paper are finite and all representations of G are defined over the field of complex numbers. The reader unfamiliar with projective representations is referred to [9] for basic definitions and elementary results. Let Proj (G, α) denote the set of irreducible projective characters of a group G with cocyle α. In previous papers (for exampe [2], [4], and [6]) numerous authors have considered the situation when Proj(G, α) = 1 or 2; such groups are said to be of α-central type or of 2α-central type, respectively. In particular in [4, Theorem A] the author showed that if Proj(G, α) = {ξ1, ξ2}, then ξ1(1)=ξ2(1). This result has recently been independently confirmed in [8, Corollary C].
1991 ◽
Vol 33
(3)
◽
pp. 311-321
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Keyword(s):
1988 ◽
Vol 104
(3)
◽
pp. 429-434
◽
1989 ◽
Vol 106
(2)
◽
pp. 193-197
◽
1988 ◽
Vol 103
(1)
◽
pp. 5-14
◽
1988 ◽
Vol 30
(2)
◽
pp. 133-135
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Keyword(s):
Keyword(s):