6533b852fe1ef96bd12aaf56

RESEARCH PRODUCT

Powers of conjugacy classes in a finite groups

Carmen MelchorAntonio BeltránRachel CaminaMaría José Felipe

subject

Finite groupbusiness.industryApplied Mathematics010102 general mathematics4904 Pure MathematicsPower of conjugacy classes01 natural sciencesFinite groupsConjugacy classesMathematics::Group TheoryConjugacy classHospitalitySolvability0103 physical sciences49 Mathematical Sciences010307 mathematical physicsSociologyCharacters0101 mathematicsbusinessMATEMATICA APLICADAHumanitiesMatemàtica

description

[EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group.

yearjournalcountryeditionlanguage
2020-04-01
10.1007/s10231-019-00885-2http://hdl.handle.net/10251/166212