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Monomiality of finite groups with some conditions on conjugacy classes

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Abstract

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.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    S. N. Fëdorov

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  1. S. N. Fëdorov
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Correspondence to S. N. Fëdorov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 5, pp. 201–212, 2007.

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Fëdorov, S.N. Monomiality of finite groups with some conditions on conjugacy classes. J Math Sci 156, 342–350 (2009). https://doi.org/10.1007/s10958-008-9271-4

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