In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.
@article{bwmeta1.element.doi-10_2478_s11533-010-0005-8,
author = {Ahmet Ar\i kan and Sezgin Sezer and Howard Smith},
title = {On locally finite minimal non-solvable groups},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {266-273},
zbl = {1207.20030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0005-8}
}
Ahmet Arıkan; Sezgin Sezer; Howard Smith. On locally finite minimal non-solvable groups. Open Mathematics, Tome 8 (2010) pp. 266-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0005-8/
[1] Arıkan A., Characterizations of minimal non-solvable Fittingp-groups, J. Group Theory, 11(1), 95–103, 2008 http://dx.doi.org/10.1515/JGT.2008.006
[2] Asar A. O., Locally nilpotent p-groups whose proper subgroups are hypercentral or nilpotent-by-Chernikov, J. London Math. Soc. (2), 61(2), 412–422, 2000 http://dx.doi.org/10.1112/S0024610799008479 | Zbl 0961.20031
[3] Robinson D.J.S., A course in the theory of groups, Springer-Verlag, New York, Heidelberg, Berlin, 1982 | Zbl 0483.20001