Article ID Journal Published Year Pages File Type
4586706 Journal of Algebra 2009 22 Pages PDF
Abstract

The paper develops algorithmic methods to enumerate all normal subgroups of a finitely presented group such that the factor groups are either isomorphic to PSL(2,pn) or to PGL(2,pn). The case of two generators is treated in detail. A range of examples starting with the free group on two generators and ending with groups having only finitely many normal subgroups of this type is discussed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory