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Matematicheskie Zametki, 2015, Volume 98, Issue 2, Pages 237–246
DOI: https://doi.org/10.4213/mzm10605 (Mi mzm10605) 		 
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
Full-text PDF (468 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10605
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.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00469
The work of the first author was financially supported by the Russian Foundation for Basic Research (grant no. 13-01-00469).
Received: 12.09.2014
Revised: 08.02.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 2, Pages 265–272
DOI: https://doi.org/10.1134/S0001434615070287
Bibliographic databases:
Document Type: Article
UDC: 512.547.214
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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