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Ascending Hnn Extensions of Finitely Generated Free Groups Are Hopfian |
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| Authors: | Geoghegan Ross; Mihalik Michael L; Sapir Mark; Wise Daniel T |
| Institution: | Dept. of Math., SUNY Binghamton, NY 13902, USA; ross{at}math.binghamton.edu Dept. of Math., Vanderbilt University Nashville, TN 37240, USA; mihalik{at}math.vanderbilt.edu Dept. of Math., Vanderbilt University Nashville, TN 37240, USA; sapir{at}math.vanderbilt.edu Dept. of Math., Cornell University Ithaca, NY 14853, USA; daniwise{at}math.cornell.edu |
| Abstract: | It is shown that every ascending HNN extension of a finitelygenerated free group is Hopfian. An important ingredient inthe proof is that under certain hypotheses on the group H, ifG is an ascending HNN extension of H, then cd(G) = cd(H) + 1. |
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