On locally finite minimal non-solvable groups

• Autorzy: Ahmet Arıkan , Sezgin Sezer , Howard Smith
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Minimal non-solvable groups; Locally nilpotent groups; Solvabilizer; Centralizer condition

Kategorie tematyczne

• 20F50: Periodic groups; locally finite groups
• 20F14: Derived series, central series, and generalizations
• 20F19: Generalizations of solvable and nilpotent groups

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 2
• Strony: 266-273

Daty

wydano

2010-04-01

online

2010-04-14

Twórcy

autor

Ahmet Arıkan

• Gazi Üniversitesi

autor

Sezgin Sezer

• Çankaya Üniversitesi

autor

Howard Smith

• Bucknell University

Bibliografia

• [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
• [3] Robinson D.J.S., A course in the theory of groups, Springer-Verlag, New York, Heidelberg, Berlin, 1982

Identyfikatory

DOI

10.2478/s11533-010-0005-8