Abstract
The present article deals with locally finite groups G having an involution φ such that C G (φ) is an SF-group. It is shown that G possesses a normal subgroup B which is a central product of finitely many groups isomorphic to PSL(2, K i ) or SL(2, K i ) for some infinite locally finite fields K i of odd characteristic, such that [G, φ]′/B and G/[G, φ] are both SF-groups.
Key Words:
1991 Mathematics Subject Classification:
ACKNOWLEDGMENTS
Research by the first author was partially supported by the Scientific and Technical Research Council of Turkey. Research by the second author was supported by FINATEC-Brazil.
Notes
Communicated by M. R. Dixon.