On an analogue to the Grushko-Neumann theorem involving finite groups

Let C be a class of finite groups closed under the operations of taking subgroups, quotients, and extensions. Let H and K be pro-C-groups and let $G=H*K$ be their free pro-C-product. An open question in the theory of profinite groups is whether or not $d(G)=d(H)+d(K),$ which is an analogue to the Grushko-Neumann theorem for abstract free products of groups.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Dabrowski, Walter Casimir

Contributors dc:contributor

• Rotman, Joseph J.

• Mathematics

Statement dc:rights

• Copyright 1996 Dabrowski, Walter Casimir

Language dc:language

eng

Identifier

9780591086799
AAI9702494
(UMI)AAI9702494

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21391