Vladimir V. Kirichenko, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, “On the contribution of D.I. Zaitsev to the Theory of Infinite Groups”, Algebra Discrete Math., 2012, Volume 13, Issue 1,Pages <nobr>59

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SURVEY ARTICLE

On the contribution of D.I. Zaitsev to the Theory of Infinite Groups

Vladimir V. Kirichenko^a, Leonid A. Kurdachenko^b, Javier Otal^c, Igor Ya. Subbotin^d

^a Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska, 64, Kyiv, 01033, Ukraine
^b Department of Algebra, National University of Dnepropetrovsk, Vul. Naukova 13, Dnepropetrovsk 50, Ukraine 49050
^c Department of Mathemathics-IUMA, University of Zaragoza, 50009 Zaragoza, Spain
^d Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA

Abstract: We survey the most outstanding contributions due to D. I. Zaitsev in the Theory of Infinite Groups.

Keywords: Soluble group; stable soluble group; radical group; generalized radical group; minimax group; factorized group; splitting theorems; chain conditions; weak chain conditions; minimax rank; Hirsch–Zaitsev rank.

MSC: 20F99

Received: 01.02.2012
Accepted: 01.02.2012

Language: English