Перегляд за автором "Dixon, M.R."

Сортувати за: Порядок: Результатів:

  • Groups satisfying certain rank conditions 
    Dixon, M.R.; Kurdachenko, L.A.; Pypka, A.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2016)
    This is a survey of a number of recent results concerned with groups whose subgroups satisfy certain rank conditions.
  • Groups with finiteness conditions on some subgroup systems: a contemporary stage 
    Dixon, M.R.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2009)
    This paper gives a brief historical survey of results in which certain systems of subgroups of a group satisfy various finiteness conditions.
  • Groups with Various Minimal Conditions on Subgroups 
    Dixon, M.R.; Evans, M.J.; Smith, H. (Український математичний журнал, 2002)
    We briefly review some recent works on groups with the weak minimal condition on nonnilpotent subgroups. We also study the class of groups with the weak minimal condition on non-(soluble of derived length d) subgroups.
  • On some topics in the theory of infinite dimensional linear groups 
    Dixon, M.R.; Kurdachenko, L.A.; Semko, N.N.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2020)
    In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional ...
  • On the existence of complements in a group to some abelian normal subgroups 
    Dixon, M.R.; Kurdachenko, L.A.; Javier Otal (Algebra and Discrete Mathematics, 2010)
    A complement to a proper normal subgroup H of a group G is a subgroup K such that G=HK and H∩K=⟨1⟩. Equivalently it is said that G splits over H. In this paper we develop a theory that we call hierarchy of centralizers to ...
  • On various rank conditions in infinite groups 
    Dixon, M.R.; Kurdachenko, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2007)
    In the current survey the authors consider some ofthe main theorems concerning groups satisfying certain rank con-ditions. They present these theorems starting with recently estab-lished results. This order of exposition ...
  • S. N. Chernikov and the development of infinite group theory 
    Dixon, M.R.; Kirichenko, V.V.; Kurdachenko, L.A.; Otal, J.; Semko, N.N.; Shemetkov, L.A.; Subbotin, I.Ya. (Algebra and Discrete Mathematics, 2012)
    In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and ...