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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-24 9:56 |
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Conference: Bucharest University Faculty of Physics 2011 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
About a class of Q-groups
Authors:
I. Armeanu (1), Didem Ozturk (2)
Affiliation:
(1) Faculty of Physics,
Department of Theoretical Physics, Mathematics, Optics, Plasma, Lasers,077125, Magurele, P.O.Box MG-11,Bucharest, Romania
(2) Mimar Sinan Guzel Sanatlar Universitesi
Mimar Sinan Fine Arts University, Istanbul, Turkie
E-mail
armeanu57@yahoo.com
Keywords:
finite group, cyclic subgroup, Sylow subgroups
Abstract:
A Q-group G is a finite group with all characters rational valued. This is equivalent with $Aut(K)\simeq N_{G}(K)/C_{G}(K)$ for all cyclic subgroups of G. In this note we will completely classify the Q-groups G with this maximal property for Aut(K) not only for cyclic subgroups, but also for the Sylow subgroups of G.
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