Geometry for palindromic automorphism groups of free groups

Simple item page
dc.creatorGlover, Henry H
dc.creatorJensen, Craig A.
dc.date2001-12-18
dc.date.accessioned2026-07-07T04:45:20Z
dc.date.available2026-07-07T04:45:20Z
dc.descriptionWe examine the palindromic automorphism group $ΠA(F_n)$ of a free group $F_n$, a group first defined by Collins which is related to hyperelliptic involutions of mapping class groups, congruence subgroups of $SL_n(\Z)$, and symmetric automorphism groups of free groups. Cohomological properties of the group are explored by looking at a contractible space on which $ΠA(F_n)$ acts properly with finite quotient. Our results answer some conjectures of Collins and provide a few striking results about the cohomology of $ΠA(F_n)$, such as that its rational cohomology is zero at the vcd.
dc.identifierhttps://arxiv.org/abs/math/0112190
dc.identifierhttp://arxiv.org/abs/math/0112190
dc.identifierComment. Math. Helv. 75 (2000) 644-667
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62916
dc.subjectGroup Theory
dc.subjectAlgebraic Topology
dc.subject20F32, 20J05; 20F28, 55N91
dc.titleGeometry for palindromic automorphism groups of free groups
dc.typetext

Files

Collections

arXiv