Number of Sylow subgroups in 𝑝-solvable groups

Navarro, Gabriel

doi:10.1090/S0002-9939-03-06884-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Number of Sylow subgroups in $p$-solvable groups
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by Gabriel Navarro PDF

Proc. Amer. Math. Soc. 131 (2003), 3019-3020 Request permission

Abstract:

If $G$ is a finite group and $p$ is a prime number, let $\nu _p(G)$ be the number of Sylow $p$-subgroups of $G$. If $H$ is a subgroup of a $p$-solvable group $G$, we prove that $\nu _p(H)$ divides $\nu _p(G)$.

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