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On Isaacs' problem

Yadchenko, A A
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Abstract

Let G be a π-soluble irreducible complex linear group of degree n such that a Hall π-subgroup H of it has odd order, is a TI-subgroup, and is not normal in G. In this paper it is established that n is divisible by |H| or by a power f>1 of some prime number such that f≡±1 (mod|H|). Bibliography: 15 titles.

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97 MATHEMATICS AND COMPUTINGCALCULATION METHODSGROUP THEORYIRREDUCIBLE REPRESENTATIONSMATHEMATICAL SOLUTIONS

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BibTeXRIS

Yadchenko, A A. 2013-12-31. On Isaacs' problem. https://doi.org/10.1070/sm2013v204n12abeh004363

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