Search results for "Product of groups"

showing 2 items of 2 documents

Pronormal subgroups of a direct product of groups

2009

[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.

AlgebraAlgebra and Number TheoryDirect productsDirect product of groupsLocally finite groupPronormal subgroupsMATEMATICA APLICADAFinite groupsAbnormal subgroupsMathematicsJournal of Algebra
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On the product of a nilpotent group and a group with non-trivial center

2007

Abstract It is proved that a finite group G = A B which is a product of a nilpotent subgroup A and a subgroup B with non-trivial center contains a non-trivial abelian normal subgroup.

Normal subgroupDiscrete mathematicsComplement (group theory)Algebra and Number TheorySoluble groupMetabelian groupCommutator subgroupCentral seriesFitting subgroupProduct of groupsCombinatoricsMathematics::Group TheorySolvable groupFactorized groupCharacteristic subgroupNilpotent groupMathematicsJournal of Algebra
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