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

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.

Anahtar Kelimeler:

Finite groups, conjugacy class sizes, primary and biprimary elements

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

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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