6533b85efe1ef96bd12bf41c

RESEARCH PRODUCT

On finite p-groups of supersoluble type

Ning SuAdolfo Ballester-bolinchesAdolfo Ballester-bolinchesRamon Esteban RomeroRamon Esteban-romeroH. Meng

subject

Pure mathematicsAlgebra and Number Theory010102 general mathematicsSylow theoremsType (model theory)01 natural sciencesFusion systemSimple group0103 physical sciencesÀlgebra010307 mathematical physics0101 mathematicsAbelian groupMatemàticaMathematics

description

Abstract A finite p-group S is said to be of supersoluble type if every fusion system over S is supersoluble. The main aim of this paper is to characterise the finite p-groups of supersoluble type. Abelian and metacyclic p-groups of supersoluble type are completely described. Furthermore, we show that the Sylow p-subgroups of supersoluble type of a finite simple group must be cyclic.

yearjournalcountryeditionlanguage
2021-02-01Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2020.08.025