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This article is cited in 5 scientific papers (total in 5 papers)
Finite Groups with Large Irreducible Character
L. S. Kazarin, S. S. Poiseeva P. G. Demidov Yaroslavl State University
Abstract:
In the general case, the order of a finite nonidentity group $G$ is substantially larger than the squared degree of every irreducible character $\Theta$ of $G$, i.e., $\Theta(1)^2<|G|$. In the present paper, we study finite groups with an irreducible character $\Theta$ such that
$$
|G|\le 2\Theta(1)^2.
$$
Keywords:
finite group, irreducible character, Frobenius group, Sylow subgroup, constituent, Galois group, Clifford theory, Fitting subgroup.
Received: 12.09.2014 Revised: 08.02.2015
Citation:
L. S. Kazarin, S. S. Poiseeva, “Finite Groups with Large Irreducible Character”, Mat. Zametki, 98:2 (2015), 237–246; Math. Notes, 98:2 (2015), 265–272
Linking options:
https://www.mathnet.ru/eng/mzm10605https://doi.org/10.4213/mzm10605 https://www.mathnet.ru/eng/mzm/v98/i2/p237
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Abstract page: | 482 | Full-text PDF : | 160 | References: | 62 | First page: | 30 |
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