6533b7d9fe1ef96bd126cc7f

RESEARCH PRODUCT

Pronormal subgroups of a direct product of groups

A. Martínez-pastorMaría Dolores Pérez-ramosBen Brewster

subject

AlgebraAlgebra and Number TheoryDirect productsDirect product of groupsLocally finite groupPronormal subgroupsMATEMATICA APLICADAFinite groupsAbnormal subgroupsMathematics

description

[EN] We give criteria to characterize abnormal, pronormal and locally pronormal subgroups of a direct product of two finite groups A×B, under hypotheses of solvability for at least one of the factors, either A or B.

yearjournalcountryeditionlanguage
2009-03-01Journal of Algebra
10.1016/j.jalgebra.2008.12.006http://dx.doi.org/10.1016/j.jalgebra.2008.12.006