Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598364 | Journal of Pure and Applied Algebra | 2007 | 5 Pages |
Abstract
We construct three groups Λ1,Λ2,Λ3Λ1,Λ2,Λ3, which can all be decomposed as amalgamated products F9∗F81F9F9∗F81F9 and have very few normal subgroups of finite or infinite index. Concretely, Λ1Λ1 is a simple group, Λ2Λ2 is not simple but has no non-trivial normal subgroup of infinite index, and Λ3Λ3 is not simple but has no proper subgroup of finite index.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Diego Rattaggi,