Hall-Higman type theorems. III
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- by T. R. Berger PDF
- Trans. Amer. Math. Soc. 228 (1977), 47-83 Request permission
Abstract:
This paper continues the investigations of this series. Suppose that $G = ANS$ where S and NS are normal subgroups of G. Suppose that $(|A|,|NS|) = 1$, S is extraspecial, and $S/Z(S)$ is a faithful minimal module for the subgroup AN of G. Assume that k is a field of characteristic prime to $|G|$ and V is a faithful irreducible ${\mathbf {k}}[G]$-module. The structure of G is discussed in the minimal situation where N is cyclic, A is nilpotent, and $V{|_A}$ does not have a regular A-direct summand.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 228 (1977), 47-83
- MSC: Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9947-1977-0437627-9
- MathSciNet review: 0437627