2009/10/29 by Rieuwert J. Blok, Blok, Rieuwert J., Corneliu Hoffman +1
Mathematics · #20E06 #20F05 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E06 #msc:20F05
paper · pdf · doi:10.48550/arxiv.0910.5652
8 pages
arxiv created 2009/10/29 · arxiv updated 2009/12/01
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.