Virtually Biautomatic Groups |
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| Authors: | Kazem Mahdavi Gabe Merton Leonidas Nguyen Travis Schedler Nathan Smith |
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| Affiliation: | 1. University of Texas at Tyler , Tyler , Texas , USA kmahdavi@uttyler.edu;3. Allston , Massachusetts , USA;4. Astoria , New York , USA;5. University of Chicago , Chicago , Illinois , USA;6. University of Texas at Tyler , Tyler , Texas , USA |
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| Abstract: | We introduce virtually biautomatic groups (groups with finite index biautomatic subgroups) and generalize results of Gersten and Short [3 Gersten , S. , Short , H. ( 1991 ). Rational subgroups of biautomatic groups . Annals of Mathematics 134 : 125 – 128 .[Crossref], [Web of Science ®] , [Google Scholar]] and Mosher [5 Mosher , L. ( 1997 ). Central quotients of biautomatic groups . Comment. Math. Helv. 72 ( 1 ): 16 – 29 .[Crossref], [Web of Science ®] , [Google Scholar]] on centralizers, normalizers, and quotients to virtually biautomatic groups. |
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| Keywords: | Biautomatic groups Virtually biautomatic groups |
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