The average element order and the number of conjugacy classes of finite groups
نویسندگان
چکیده
Let o(G) be the average order of elements G, where G is a finite group. We show that there no polynomial lower bound for in terms o(N), N⊴G, even when prime-power group and N abelian. This gives negative answer to question A. Jaikin-Zapirain.
منابع مشابه
COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2020.11.009