Good involutions of twisted conjugation subquandles and Alexander quandles

We completely describe good involutions of free quandles and subquandles of twisted conjugation quandles of groups, including all Alexander quandles. As an application, we enumerate good involutions of linear quandles, and we provide explicit mappings for those up to order 23 via a computer search. Along the way, we completely characterize connected, involutory Alexander quandles, which may be of independent interest.

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Publication Details

Journal
Communications in Algebra
Published
2026-04-30
DOI
https://doi.org/10.1080/00927872.2026.2643415
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Good involutions of twisted conjugation subquandles and Alexander quandles

Lực Ta
Communications in Algebra
Algebraic Geometry and Number Theory
article

Good involutions of twisted conjugation subquandles and Alexander quandles

Lực Ta
article en

Abstract

We completely describe good involutions of free quandles and subquandles of twisted conjugation quandles of groups, including all Alexander quandles. As an application, we enumerate good involutions of linear quandles, and we provide explicit mappings for those up to order 23 via a computer search. Along the way, we completely characterize connected, involutory Alexander quandles, which may be of independent interest.

Communications in Algebra
University of Pittsburgh (US)
Reduced inequalities
Openalex Percentile: Top 4%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Good involutions of twisted conjugation subquandles and Alexander quandles — Lực Ta · Communications in Algebra (2026) | TGRS Research Map | TGRS