London Algebra Colloquium abstract

Embedding Theorems for Cyclically Presented Groups

Martin Edjvet (Nottingham), 3rd December 2009

Abstract

We show how intersections of Magnus subgroups of one-relator groups can influence when a subgroup embeds in a cyclically presented group. The ideas are developed from earlier examples due to Graham Higman and then Steve Pride. The proofs use group actions on trees. Much of the talk is joint work with Jim Howie. We will also describe briefly some joint work with John Cremona on cyclic presentations.