finite groups with five non-central conjugacy classes
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abstract
let $g$ be a finite group and $z(g)$ be the center of $g$. for a subset $a$ of $g$, we define $k_g(a)$, the number of conjugacy classes of $g$ which intersect $a$ non-trivially. in this paper, we verify the structure of all finite groups $g$ which satisfy the property $k_g(g-z(g))=5$ and classify them.
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Journal title:
journal of algebraic systemجلد ۴، شماره ۲، صفحات ۸۵-۹۵
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