- Turkish Journal of Mathematics
- Vol: 30 Issue: 2
- Finite Groups all of Whose Abelian Subgroups of Equal Order are Conjugate
Finite Groups all of Whose Abelian Subgroups of Equal Order are Conjugate
Authors : Sezgin Sezer
Pages : 139-175
View : 12 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper we classify the finite groups whose abelian subgroups of equal order (B*-groups) are conjugate. The classification has been achieved by means of a lot of general structure properties of B*-groups, provided in the course of the paper.Keywords : Finite solvable groups, finite non-solvable groups, conjugacy classes of abelian subgroups, projective special linear groups over a finite field, simple first group of Janko, alternating groups, Sylow subgroups, Hall subgroups, Fitting subgroups, tran