Nonsolvable Groups Whose Degrees of All Proper Subgroups Are the Direct Products of at Most Two Prime Numbers

Shitian Liu, Xingzheng Tang and Zafar Ullah

Journal of Mathematics, 2022, vol. 2022, 1-8

Abstract: Huppert and Manz have determined the nonsolvable groups whose character degrees are products of at most two prime numbers. In this paper, we change the condition from “degrees of a group are products of at most two prime divisors†to “degrees of all proper groups of a group are products of at most two prime divisors†and determine the structure of finite groups with such condition.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1455299

DOI: 10.1155/2022/1455299

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