0000000000170482

AUTHOR

Andrew Fransman

showing 2 related works from this author

Products of groups and group classes

1994

Letχ be a Schunck class, and let the finite groupG=AB=BC=AC be the product of two nilpotent subgroupsA andB andχ-subgroupC. If for every common prime divisorp of the orders ofA andB the cyclic group of orderp is anχ-group, thenG is anχ-group. This generalizes earlier results of O. Kegel and F. Peterson. Some related results for groups of the formG=AB=AK=BK, whereK is a nilpotent normal subgroup ofG andA andB areχ-groups for some saturated formationχ, are also proved.

AlgebraCombinatoricsNormal subgroupNilpotentFinite groupGroup (mathematics)General MathematicsProduct (mathematics)Cyclic groupGroup theoryPrime (order theory)MathematicsIsrael Journal of Mathematics
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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
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