The average element order and the number of conjugacy classes of finite groups
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DOI: 10.1016/j.jalgebra.2020.11.009
Abstract: Let $o(G)$ be the average order of the elements of $G$, where $G$ is a finite group. We show that there is no polynomial lower bound for $o(G)$ in terms of $o(N)$, where $N\trianglelefteq G$,… read more here.
Keywords: element order; order; average element; conjugacy classes ... See more keywords
On the width of element order set of a finite group
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DOI: 10.1080/00927872.2024.2431641
Abstract: Abstract In this paper, we partially answer a question of Wujie Shi about the width of the order of the elements of a finite group. read more here.
Keywords: width element; element order; order set; finite group ... See more keywords