Geodesic
On Isaacs' problem
Sbornik. Mathematics, Tome 204 (2013) no. 12, pp. 1839-1848 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $G$ be a $\pi$-soluble irreducible complex linear group of degree $n$ such that a Hall $\pi$-subgroup $H$ of it has odd order, is a $\mathrm{TI}$-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 $f\equiv \pm 1\ (\operatorname{mod}|H|)$. Bibliography: 15 titles.
Keywords: groups, character degrees, normal subgroups. 
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A. A. Yadchenko. On Isaacs' problem. Sbornik. Mathematics, Tome 204 (2013) no. 12, pp. 1839-1848. http://geodesic.mathdoc.fr/item/SM_2013_204_12_a7/

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