On irreducible linear groups with abelian Sylow subgroups
EDN: IKDBHR
Abstract
For finite $\pi$-solvable non-$\pi$-closed irreducible complex linear groups of degree $n$ with an $\pi$-Hall $TI$-subgroup $H$ of odd order greater than 3 conditions are found under which $n$ is divisible by $|H|$ or by a power $f > 1$ of some prime number such that $f\equiv 1(\mathrm{mod}\ |H|)$.
About the Author
A. A. Yadchenko
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Minsk
References
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Review
For citations:
Yadchenko A.A. On irreducible linear groups with abelian Sylow subgroups. Proceedings of the Institute of Mathematics of the NAS of Belarus. 2025;33(2):28-35. (In Russ.) EDN: IKDBHR
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