Degrees of irreducible components of permutation character and normal subgroups of a finite group
https://doi.org/10.67268/1812-5093-2026-34-1-39-44
EDN: UVLPLF
Abstract
For an odd prime number $r$, we found conditions under which a Sylow $r$-subgroup $G_{r}$ is Abelian and normal in an irreducible complex linear group $G$.
About the Author
A. A. Yadchenko
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Minsk
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Review
For citations:
Yadchenko A.A. Degrees of irreducible components of permutation character and normal subgroups of a finite group. Proceedings of the Institute of Mathematics of the NAS of Belarus. 2026;34(1):39-44. (In Russ.) https://doi.org/10.67268/1812-5093-2026-34-1-39-44. EDN: UVLPLF
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