Martyn R. Dixon, Leonid A. Kurdachenko, Aleksandr A. Pypka, Igor Ya. Subbotin, “Groups satisfying certain rank conditions”, Algebra Discrete Math., 2016, Volume 22, Issue 2,Pages <nobr>184

This article is cited in 3 papers

SURVEY ARTICLE

Groups satisfying certain rank conditions

Martyn R. Dixon^a, Leonid A. Kurdachenko^b, Aleksandr A. Pypka^b, Igor Ya. Subbotin^c

^a Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA
^b Department of Geometry and Algebra, Faculty of mechanics and mathematics, Oles Honchar Dnipropetrovsk National University, Gagarin prospect, 72, Dnipro, 49010, Ukraine
^c Department of Mathematics and Natural Sciences, College of Letters and Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA

Abstract: This is a survey of a number of recent results concerned with groups whose subgroups satisfy certain rank conditions.

Keywords: finite rank, torsion-free rank, section $p$-rank.

MSC: Primary 20E15; Secondary 20E25, 20F50

Received: 09.03.2016

Language: English