Counting \(\text{SL}_2(\mathbb F_{2^s})\) representations of torus knot groups
type: Item
instance of: scholarly article
title: Counting \(\text{SL}_2(\mathbb F_{2^s})\) representations of torus knot groups
zbMATH Open document ID: 1160.57300
author: D. Massart
publication date: 2003-06-29T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 57M27
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 1941601
MaRDI profile type: Publication
full work available at URL: s10114-003-0261-7
OpenAlex ID: W2087573077
cites work: A zeta function for a knot using \(SL_2 (\mathbb{F}_{p^s})\) representations
cites work: Homomorphisms of Knot Groups on Finite Groups
cites work: Q3995494
cites work: Casson-Lin's Invariant and Floer Homology
cites work: A knot invariant via representation spaces
cites work: Twisted Alexander polynomial for finitely presentable groups
cites work: Q4138813
cites work: Q3996516
cites work: Representations of knot groups and twisted Alexander polynomials
cites work: Q4953993
DOI: 10.1007/S10114-003-0261-7
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1941601