Перегляд за автором "Javier Otal"

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  • Groups with small cocentralizers 
    Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the ...
  • 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 ...
  • The structure of infinite dimensional linear groups satisfying certain finiteness conditions 
    Jose M. Munoz-Escolano; Javier Otal; Semko, N.N. (Algebra and Discrete Mathematics, 2009)
    We review some recent results on the structure of infinite dimensional linear groups satisfying some finiteness conditions on certain families of subgroups. This direction of research is due to Leonid A. Kurdachenko, who ...