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On the number of nonorientable Wicks forms in a free group

Published online by Cambridge University Press:  14 November 2011

A. Vdovina
A. Vdovina
Affiliation:
Higher Algebra Chair, Mechanical-Mathematics Department, Moscow State University, Moscow, 117234, Russian Federation
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Abstract

The paper is concerned with the estimation of the number of maximal-length genus n nonorientable Wicks forms for n → ∞. It is shown how to apply a graph theory for this problem. It is proved that if M(n) be the number of all nonequivalent nonorientable genus n Wicks forms of maximal length, then

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 1 , 1996 , pp. 113 - 116
Copyright
Copyright © Royal Society of Edinburgh 1996

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