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RESEARCH PRODUCT
On finite products of groups and supersolubility
M. Arroyo-jordáA. Martínez-pastorP. Arroyo-jordáMaría Dolores Pérez-ramossubject
CombinatoricsConditional permutabilityAlgebra and Number TheoryGroup (mathematics)Product (mathematics)Products of subgroupsPermutable primeElement (category theory)MATEMATICA APLICADAFinite groupsSupersoluble groupsMathematicsdescription
Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y(g) for some element g E G. i.e., XY(g) is a subgroup of G. Using this permutability property new criteria for the product of finite supersoluble groups to be supersoluble are obtained and previous results are recovered. Also the behaviour of the supersoluble residual in products of finite groups is studied.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-05-01 | Journal of Algebra |