Pith. sign in

REVIEW 2 cited by

Classification of generalized Alexander quandles

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2406.01074 v1 pith:CLUBOSCC submitted 2024-06-03 math.GT math.GR

Akihiro Higashitani , Seiichi Kamada , Jin Kosaka , Hirotake Kurihara This is my paper · ORCID
classification math.GTmath.GR
keywords alexandergeneralizedquandlesautomorphismsgroupsisomorphismadditionallyarising
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

The aim of this paper is to provide a new characterization of isomorphism classes of generalized Alexander quandles in terms of the underlying groups and their automorphisms. This extends the previous result [4, Theorem 1.4]. Additionally, we compute the number of generalized Alexander quandles up to quandle isomorphism arising from groups up to order 127 and their group automorphisms.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Metrics for quandles

    math.GT 2025-05 conditional novelty 6.0 of 10

    A generalized Alexander quandle with finitely generated displacement group has each connected component quasi-isometric to that displacement group under the displacement metric.

  2. The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two

    math.GT 2025-09 accept novelty 5.0 of 10

    Suciu's ribbon n-knots are mutually distinguished by knot quandles, reproved by showing their associated free-group automorphisms are non-conjugate.

Pith tools