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RESEARCH PRODUCT

On conditional permutability and saturated formations

M. Arroyo-jordáP. Arroyo-jordáMaría Dolores Pérez-ramos

subject

CombinatoricsConditional permutabilityGroup (mathematics)General MathematicsProduct (mathematics)Products of subgroupsMATEMATICA APLICADAFinite groupsSaturated formationsMathematics

description

Two subgroups A and B of a group G are said to be totally completely conditionally permutable (tcc-permutable) in G if X permutes with Yg for some g ¿ ¿X, Y¿ for all X ¿ A and Y ¿ B. We study the belonging of a finite product of tcc-permutable subgroups to a saturated formation of soluble groups containing all finite supersoluble groups. © 2011 Edinburgh Mathematical Society.

yearjournalcountryeditionlanguage
2011-03-30
10.13039/501100004837http://hdl.handle.net/10251/28686