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Doodle groups

Published:1997 Issue:6 Volume:349 Page:2297-2315
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Khovanov Mikhail

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1997-349-06/S0002-9947-97-01706-6/S0002-9947-97-01706-6.pdf

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5. Small cancellation theory and automatic groups;Gersten, S. M.;Invent. Math.,1990

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