Finite groups with three conjugacy class sizes of primary and biprimary elements

Authors: CHANGGUO SHAO, QINHUI JIANG

Abstract: We determine the structure of finite $\pi(m)$-separable groups if the set of conjugacy class sizes of primary and biprimary elements is $\{1, m, mn\}$, where $m$ and $n$ are two coprime integers.

Keywords: Finite groups, conjugacy class sizes, primary and biprimary elements

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