6533b86efe1ef96bd12cc891
RESEARCH PRODUCT
On a Class of Generalized Nilpotent Groups
Tatiana PedrazaAdolfo Ballester-bolinchessubject
Discrete mathematicsPure mathematicsClass (set theory)NilpotentMathematics::Group TheoryAlgebra and Number TheoryGeneralizationStructure (category theory)Nilpotent groupCentral seriesFitting subgroupPrime (order theory)Mathematicsdescription
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all radical locally finite groups satisfying min-p for every prime p. We obtain that this class is the natural generalization of the class of finite nilpotent groups from the finite universe to the universe c[formula]. Moreover, the structure of B-groups is determined explicitly. It is also shown that B is a subgroup-closed c[formula]-formation and that in every c[formula]-group the Fitting subgroup is the unique maximal normal B-subgroup.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-02-01 | Journal of Algebra |