Periodic Linear Groups with the Weak Chain on Subgroups of Infinite Central Dimension

• Autores: José María Muñoz Escolano, Javier Otal Cinca, Nicolaj N. Semko
• Localización: Pre-publicaciones del Seminario Matemático " García de Galdeano ", Nº. 6, 2006
• Idioma: inglés
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• Resumen

  • Let V be a vector space over a field F. If G  GL(V, F), the central dimension of G is the F¿dimension of the vector space V/CV (G). In [DEK] and [KS], soluble linear groups in which the set Licd(G) of all proper infinite central dimensional subgroups of G satisfies the minimal condition and the maximal condition, respectively, have been described. In this paper we study periodic locally soluble linear groups, in which the set Licd(G) satisfies one of the weak chain conditions, the weak minimal condition or the weak maximal condition.