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- W3038422749 abstract "In this paper we study the ratio between the number of $p$-elements and the order of a Sylow $p$-subgroup of a finite group $G$. As well known, this ratio is a positive integer and we conjecture that, for every group $G$, it is at least the $(1-frac{1}{p})$-th power of the number of Sylow $p$-subgroups of $G$. We prove this conjecture if $G$ is $p$-solvable. Moreover, we prove that the conjecture is true in its generality if a somewhat similar condition holds for every almost simple group." @default.
- W3038422749 created "2020-07-10" @default.
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- W3038422749 date "2020-07-02" @default.
- W3038422749 modified "2023-09-27" @default.
- W3038422749 title "On the number of $p$-elements in a finite group" @default.
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