Skip to main content Accessibility help
×
Home

ASCENDING HNN EXTENSIONS OF FINITELY GENERATED FREE GROUPS ARE HOPFIAN

  • ROSS GEOGHEGAN (a1), MICHAEL L. MIHALIK (a2), MARK SAPIR (a3) and DANIEL T. WISE (a4)

Abstract

It is shown that every ascending HNN extension of a finitely generated free group is Hopfian. An important ingredient in the proof is that under certain hypotheses on the group H, if G is an ascending HNN extension of H, then cd(G) = cd(H) + 1.

Copyright

ASCENDING HNN EXTENSIONS OF FINITELY GENERATED FREE GROUPS ARE HOPFIAN

  • ROSS GEOGHEGAN (a1), MICHAEL L. MIHALIK (a2), MARK SAPIR (a3) and DANIEL T. WISE (a4)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed