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RESEARCH PRODUCT

On $MC$-hypercentral triply factorized groups

Francesco G. Russo

subject

Normal subgroupCombinatoricsSettore MAT/02 - Algebrageneralized $FC$-groupsMathematics Subject ClassificationGroup (mathematics)Product (mathematics)Rank (graph theory)triply factorized groupSettore MAT/03 - GeometriaGroups with soluble minimax conjugacy classeMathematics

description

A group G is called triply factorized in the product of two subgroups A, B and a normal subgroup K of G ,i fG = AB = AK = BK. This decomposition of G has been studied by several authors, investigating on those properties which can be carried from A, B and K to G .I t is known that if A, B and K are FC-groups and K has restrictions on the rank, then G is again an FC-group. The present paper extends this result to wider classes of FC-groups. Mathematics Subject Classification: 20F24; 20F14

yearjournalcountryeditionlanguage
2007-01-01
http://hdl.handle.net/10447/55681