Affiliation:
1. Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, P. R. China
Abstract
Let [Formula: see text] and [Formula: see text] be normal subgroups of a finite group [Formula: see text]. We obtain th supersolvability of a factorized group [Formula: see text], given that the conjugacy class sizes of vanishing elements of prime-power order in [Formula: see text] and [Formula: see text] are square-free.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Lt
Cited by
1 articles.
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1. SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES;Bulletin of the Australian Mathematical Society;2022-07-13