SavedAdd your journal

Journals / Turkish Journal of Mathematics / 2006 / Cilt: 30 - Sayı: 2

Finite Groups all of Whose Abelian Subgroups of Equal Order are Conjugate

Sezgin SEZER

Pages
139–175
DOI
—

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.

Özet

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