Another criterion for solvability of finite groups
نویسندگان
چکیده
Let G be a finite group. Denote by ψ(G) the sumψ(G)=∑x∈G|x|, where |x| denotes order of element x, and o(G) quotiento(G)=ψ(G)|G|. Confirming conjecture posed E.I. Khukhro, A. Moreto M. Zarrin, we prove that if o(G)<o(A5), then is solvable.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.01.005