Products of Locally Supersoluble Groups


A group G is said to be FC-hypercentral if every non-trivial homomorphic image of G contains some non-trivial element having only finitely many conjugates. It is proved that if the FC-hypercentral group G = AB = AC = BC is factorized by three locally supersoluble subgroups A,B and C, and the commutator subgroup of G is nilpotent, then G is locally supersoluble

DOI Code: 10.1285/i15900932v32n2p5

Keywords: Locally supersoluble group; FC-hypercentral group

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