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- W2418896564 abstract "Let $G$ be a finite group, $p$ a prime and $P$ a Sylow $p$-subgroup of $G$. In this note we give a cohomological criterion for the $p$-solvability of $G$ depending on the cohomology in degree $1$ with coefficients in $mathbb F_p$ of both the normal subgroups of $G$ and $P$. As a byproduct we bound the minimal number of quotients of order a power of $p$ appearing in any normal series of $G$ by the number of generators of $P$." @default.
- W2418896564 created "2016-06-24" @default.
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- W2418896564 date "2016-06-07" @default.
- W2418896564 modified "2023-09-27" @default.
- W2418896564 title "A cohomological criterion for $p$-solvability" @default.
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- W2418896564 hasPublicationYear "2016" @default.
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