### A formula for the coincidence Reidemeister trace of selfmaps on bouquets of circles

DOI: http://dx.doi.org/10.12775/TMNA.2009.004

#### Abstract

We give a formula for the coincidence Reidemeister trace of selfmaps on

bouquets of circles in terms of the Fox calculus. Our formula reduces

the problem of computing the coincidence Reidemeister trace to the

problem of distinguishing doubly twisted conjugacy classes in free

groups.

bouquets of circles in terms of the Fox calculus. Our formula reduces

the problem of computing the coincidence Reidemeister trace to the

problem of distinguishing doubly twisted conjugacy classes in free

groups.

#### Keywords

Coincidence theory; Nielsen number; Redemeister trace

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