Products of Locally Supersoluble Groups

Authors

  • A. Auletta
  • F. de Giovanni

DOI:

https://doi.org/10.1285/i15900932v32n2p5

Keywords:

Locally supersoluble group, FC-hypercentral group

Abstract

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

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Published

01-06-2013

Issue

Volume 32, Issue 2 (2012)

Section

Articoli

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