6533b7d6fe1ef96bd1267189

RESEARCH PRODUCT

On the exponent of mutually permutable products of two abelian groups

M. C. Pedraza-aguileraJohn CosseyAdolfo Ballester-bolinches

subject

Pure mathematics01 natural sciences0103 physical sciencesNatural sciencemedia_common.cataloged_instancePermutable primeFinite group0101 mathematicsAbelian groupEuropean unionMathematicsmedia_commonFinite groupAlgebra and Number TheoryAbelian groupExponentFactorisations010102 general mathematicsFoundation (engineering)p-LegthAlgebraExponent010307 mathematical physicsMATEMATICA APLICADAp-Supersolubility

description

In this paper we obtain some bounds for the exponent of a finite group, and its derived subgroup, which is a mutually permutable product of two abelian subgroups. They improve the ones known for products of finite abelian groups, and they are used to derive some interesting structural properties of such products.

yearjournalcountryeditionlanguage
2016-11-16Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2016.05.027