Quasi-vertex-transitive Maps on the Plane

Arun Maiti

REVIEW

Quasi-vertex-transitive Maps on the Plane

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 1909.09042 v4 pith:CF4EU6NF submitted 2019-09-19 math.GT math.CO

Quasi-vertex-transitive Maps on the Plane

Arun Maiti This is my paper

classification math.GT math.CO

keywords mapsquasi-vertex-transitiveexistplanetheretypesactionadmit

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

Quasi-vertex-transitive maps are the homogeneous maps on the plane with finitely many vertex orbits under the action of their automorphism groups. We show that there exist quasi-vertex-transitive maps of types $[p^3, 3]$ for $p \equiv 1$ (mod $6$), but there doesn't exist vertex-transitive map of such types. In particular, we determine the surface with the lowest possible genus that admit a polyhedral map of type $[5^3, 3]$.

Quasi-vertex-transitive Maps on the Plane

discussion (0)