6533b82afe1ef96bd128c384

RESEARCH PRODUCT

On the product of a nilpotent group and a group with non-trivial center

Bernhard AmbergLev Kazarin

subject

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

description

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.

yearjournalcountryeditionlanguage
2007-05-01Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2007.01.009