Search results for "Products of groups"

showing 3 items of 3 documents

Products of pairwise totally permutable groups

2003

[EN] In this paper finite groups factorized as products of pairwise totally permutable subgroups are studied in the framework of Fitting classes

AlgebraDiscrete mathematicsMathematics Subject ClassificationGeneral MathematicsPairwise comparisonPermutable primeProducts of groupsFitting classesMATEMATICA APLICADAFinite groupsMathematics
researchProduct

Products of locally dihedral subgroups

2012

AbstractIt is shown that a group G=AB which is a product of two periodic locally dihedral subgroups A and B is soluble.

CombinatoricsAlgebra and Number TheoryGroup (mathematics)Product (mathematics)Locally dihedral groupsArithmeticDihedral angleProducts of groupsMathematicsFactorized groupsSoluble locally finite groupsJournal of Algebra
researchProduct

On the product of a π-group and a π-decomposable group

2007

[EN] The main result in the paper states the following: Let π be a set of odd primes. Let the finite group G=AB be the product of a π -decomposable subgroup A=Oπ(A)×Oπ′(A) and a π -subgroup B . Then Oπ(A)⩽Oπ(G); equivalently the group G possesses Hall π -subgroups. In this case Oπ(A)B is a Hall π-subgroup of G. This result extends previous results of Berkovich (1966), Rowley (1977), Arad and Chillag (1981) and Kazarin (1980) where stronger hypotheses on the factors A and B of the group G were being considered. The results under consideration in the paper provide in particular criteria for the existence of non-trivial soluble normal subgroups for a factorized group G.

Normal subgroupFinite groupAlgebra and Number TheoryGroup (mathematics)Products of groupsHall subgroupsCombinatoricsSet (abstract data type)π-Decomposable groupsProduct (mathematics)MATEMATICA APLICADAπ-GroupsMathematicsJournal of Algebra
researchProduct