Abstract Let G be an extra-special p-group of order for The aim of this paper is to investigate what possible combinations of degrees (counting multiplicities) of irreducible α-characters of G can occur for in the Schur multiplier and then to determine the numbers of that give the same combinations. Solutions are given when n = 2 and in general for Writing G for n > 2 as the central product of two extra-special p-groups E and K, partial solutions are obtained for p odd when (a) every element of E is α-regular for all and (b) and the subgroup of M(G) consisting of with trivial is considered instead.

中文翻译：

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特异p群的投影特征

摘要 令 G 为 的特殊 p 阶群 本文的目的是研究 G 的不可约 α 特征的度数（计数多重性）在 Schur 乘子中可能出现的组合，然后确定给出相同组合的数字。当 n = 2 时给出解，并且通常将 G 写成 n > 2 作为两个特殊 p 群 E 和 K 的中心积，当 (a) E 的每个元素都是 α 时，可以获得 podd 的部分解-regular for all and (b) 和由 with trivial 组成的 M(G) 的子群被考虑。