Abstract
Over the past decade, several interesting results on the so-called average character degree of a finite group and its connections with the group structure have been found. In this paper we introduce the geometric mean of character degrees and prove that the alternating group $\mathsf{A}_5$, which is the smallest non-solvable group, has minimal geometric mean of irreducible character degrees among all non-solvable groups.
Citation
Hung Ngoc Nguyen. "On the geometric mean of character degrees of a finite group." Albanian J. Math. 15 (1) 3 - 9, 2021. https://doi.org/10.51286/albjm/1608313771
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