A Countable-Type Theorem for Uncountable Groups

The aim of this paper is to develop a general construction method of finite series of a group G based on the existence of suitable finite series in the countable subgroups of G. This method is applied to prove that certain group theoretical properties are countably recognizable.

Bibliographic Details
Main Authors: Maria Ferrara, Marco Trombetti
Format: Article
Language:English
Published: Aracne 2017-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/3/M.%20Ferrara,%20M.%20Trombetti%20-%20A%20countable-type%20theorem%20for%20uncountable%20groups.pdf