Article ID Journal Published Year Pages File Type
4598364 Journal of Pure and Applied Algebra 2007 5 Pages PDF
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
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