Counting \(\text{SL}_2(\mathbb F_{2^s})\) representations of torus knot groups (Q1396012)
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scientific article; zbMATH DE number 1941601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting \(\text{SL}_2(\mathbb F_{2^s})\) representations of torus knot groups |
scientific article; zbMATH DE number 1941601 |
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Counting \(\text{SL}_2(\mathbb F_{2^s})\) representations of torus knot groups (English)
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29 June 2003
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In this paper we count the number of \(\text{SL}_2(\mathbb F_{2^s})\) representations of torus knot groups up to a conjugacy. For the finite field \(\mathbb F_{2^s}\) with character 2, the counting method is similar to that in our previous work [OSU preprint 2001]. Explicit formulae of the effective counting are given in this paper. Twisted Alexander polynomials related to those representations are discussed.
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