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Doodle groups

Author(s): Mikhail Khovanov
Journal: Trans. Amer. Math. Soc. 349 (1997), 2297-2315.
MSC (1991): Primary 57M05
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Abstract: A doodle is a finite number of closed curves without triple intersections on an oriented surface. There is a ``fundamental'' group, naturally associated with a doodle. In this paper we study these groups, in particular, we show that fundamental groups of some doodles are automatic and give examples of doodles whose fundamental groups have non-trivial center.

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Additional Information:

Mikhail Khovanov
Affiliation: Department of Mathematics, Yale University, New Haven, Connecticut 06520
Email: michaelk@math.yale.edu

DOI: 10.1090/S0002-9947-97-01706-6
PII: S 0002-9947(97)01706-6
Received by editor(s): November 14, 1994
Received by editor(s) in revised form: October 30, 1995
Copyright of article: Copyright 1997, American Mathematical Society

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