SMS scnews item created by Anthony Henderson at Fri 4 Apr 2008 1518
Type: Seminar
Distribution: World
Expiry: 18 Apr 2008
Calendar1: 18 Apr 2008 1205-1255
CalLoc1: Carslaw 373
CalTitle1: Algebra Seminar: Hillman -- Finite index endomorphisms of mapping tori of free group automorphisms
Auth: anthonyh@asti.maths.usyd.edu.au

Algebra Seminar

Finite index endomorphisms of mapping tori of free group automorphisms

Jonathan Hillman

18th April, 12:05-12:55pm, Carslaw 373


Abstract

A group G is hopfian if every onto endomorphism f:G->G is an isomorphism. We shall describe some extensions of this notion, and examine the case of semidirect products G=F(r) \rtimes_\phi Z, where \phi is an automorphism of the free group F(r). (Such groups G are the "mapping tori" of the title.) Although these notions derive from topology, the arguments are primarily algebraic.

This is based on joint work with M.Bridson, D.Groves and G.Martin.


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