A. Ballester-Bolinches, J. C. Beidleman, A. D. Feldman, H. Heineken, M. F. Ragland, “<nobr>$S$</nobr>-Embedded subgroups in finite groups”, Algebra Discrete Math., 2012, Volume 13, Issue 2,Pages <nobr>139

SURVEY ARTICLE

$S$-Embedded subgroups in finite groups

A. Ballester-Bolinches^a, J. C. Beidleman^b, A. D. Feldman^c, H. Heineken^d, M. F. Ragland^e

^a Departament d'Àlgebra, Universitat de València; Dr. Moliner, 50; 46100, Burjassot, València, Spain
^b Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, USA
^c Department of Mathematics, Franklin & Marshall College, Lancaster, PA 17604-3003, USA
^d Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, 97074 Würzburg, Germany
^e Department of Mathematics, Auburn University Montgomery, P.O. Box 244023, Montgomery, AL 36124-4023 USA

Abstract: In this survey paper several subgroup embedding properties related to permutability are introduced and studied.

Keywords: finite groups, permutability, $S$-permutability, seminormality, semipermutability.

MSC: 20D05, 20D10, 20F16

Received: 02.04.2012
Revised: 19.05.2012

Language: English