Bass-Serre theory and counting rank two amalgams
Group Theory
2009-10-30 v1
Abstract
An amalgam of groups can be viewed as a Sudoku game inside a group. You are given a set of subgroups and their intersections and you need to decide what the largest group containing such a structure can be. In a recent paper (0907.1388v1) we used Bass-Serre theory of graphs of groups to classify all possible amalgams of Curtis-Tits shape with a given diagram. This note describes the method for general rank two amalgams.
Cite
@article{arxiv.0910.5652,
title = {Bass-Serre theory and counting rank two amalgams},
author = {Rieuwert J. Blok and Corneliu Hoffman},
journal= {arXiv preprint arXiv:0910.5652},
year = {2009}
}
Comments
8 pages