Monomiality of finite groups with some conditions on conjugacy classes. (English. Russian original) Zbl 1177.20014
J. Math. Sci., New York 156, No. 2, 342-350 (2009); translation from Fundam. Prikl. Mat. 13, No. 5, 201-212 (2007).
Summary: We present some arithmetical-type conditions on the set of conjugacy classes of a finite group that are sufficient for the monomiality of the group, i.e., for the property that all its irreducible complex characters are induced by linear characters of subgroups.
MSC:
| 20C15 | Ordinary representations and characters |
| 20E45 | Conjugacy classes for groups |
| 20D60 | Arithmetic and combinatorial problems involving abstract finite groups |
Keywords:
finite M-groups; irreducible characters; irreducible representations; quasi-Frobenius groups; conjugacy class sizesReferences:
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