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 Tr. Inst. Mat., 2010, Volume 18, Number 2, Pages 99–114 (Mi timb22)

On $\pi$-solvable irreducible linear groups with hall $TI$-subgroup of odd order. III

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: The article completes a series of papers where for a set $\pi$ of odd primes $\pi$-solvable finite irreducible complex linear groups whose Hall $\pi$-subgroups are $TI$-subgroups and the degree of the group is small with respect to the order of such subgroup, are investigated. The goal of this series is to determine the possible values of the degree $n$ if a Hall $\pi$-subgroup $H$ is not normal and $n<2|H|$. The proof of a theorem that yields the complete list of these values is completed. This proof was started in [Trudy Instituta Matematiki, 2008, v. 16, № 2, p. 118–130] and continued in [Trudy Instituta Matematiki, 2009, v. 17, № 2, p. 94–104].

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UDC: 512.542

Citation: A. A. Yadchenko, “On $\pi$-solvable irreducible linear groups with hall $TI$-subgroup of odd order. III”, Tr. Inst. Mat., 18:2 (2010), 99–114

Citation in format AMSBIB
\Bibitem{Yad10} \by A.~A.~Yadchenko \paper On $\pi$-solvable irreducible linear groups with hall $TI$-subgroup of odd order.~III \jour Tr. Inst. Mat. \yr 2010 \vol 18 \issue 2 \pages 99--114 \mathnet{http://mi.mathnet.ru/timb22} \zmath{https://zbmath.org/?q=an:1216.20041} 

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This publication is cited in the following articles:
1. A. A. Yadchenko, “O neprivodimykh lineinykh gruppakh primarnoi stepeni”, Tr. In-ta matem., 20:2 (2012), 103–116
2. A. A. Yadchenko, “On Isaacs' problem”, Sb. Math., 204:12 (2013), 1839–1848
3. A. A. Yadchenko, “On Automorphisms of Irreducible Linear Groups with an Abelian Sylow $2$-Subgroup”, Math. Notes, 99:1 (2016), 138–154
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