2007/05/05 by L. Markus-Epstein, Markus-Epstein, L.
Mathematics · #20E06 #20F10 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E06 #msc:20F10
paper · pdf · doi:10.48550/arxiv.0705.0759
39 pages with 9 figures
arxiv created 2007/07/02 · arxiv updated 2009/12/01
Geometric methods proposed by Stallings for treating finitely generated subgroups of free groups were successfully used to solve a wide collection of decision problems for free groups and their subgroups. It turns out that Stallings' methods can be effectively generalized for the class of amalgams of finite groups. In the present paper we employ subgroup graphs constructed by the generalized Stallings' folding algorithm to solve various algorithmic problems in amalgams of finite groups.