Fabio Ortiz Universidad de Los Andes, Bogota, COLOMBIA
Resumen.
Un metodo usado en grupos finitos para deducir, entre otros, los teoremas de reemplazo de Thompson y Timmesfeld [4], se desarrolla en version de grupos de rango de Morley finito obteniendose resultados an alogos, lo que permite evidenciar como el rango de Morley funciona como una dimension en un grupo infinito.
Abstract.
A method used in finite group theory to deduce, among others, Thomsomp's and Timmesfeld's replacement theorems [4], is now developed in the context of groups of finite Morley rank and analogues results are obtained. This procedure then, allows to have an evidence on how the Morley rank behaves as a dimension for an infinite group.
Palabras claves. Finite groups, Groups of finite Morley rank, Ranked groups, Groups with dimension.
