Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups

Binzhou Xia; Cai Heng Li

Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups

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 1408.0350 v3 pith:YV6J3SNM submitted 2014-08-02 math.GR

Cai Heng Li , Binzhou Xia This is my paper · ORCID

classification math.GR

keywords solvablegroupscayleygraphalmostarc-transitivefactorfactorizations

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

abstract

A classification is given for factorizations of almost simple groups with at least one factor solvable, and it is then applied to characterize $s$-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary: Except the cycles, every non-bipartite connected 3-arc-transitive Cayley graph of a solvable group is a cover of the Petersen graph or the Hoffman-Singleton graph.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

The Existence of Minimal Logarithmic Signatures for some Finite Simple Unitary Groups
math.GR 2019-08 reject novelty 5.0 of 10

A report that the existing proof of MLS for unitary groups has a gap, plus MLS constructions for some projective special unitary groups under primality conditions.

Pith tools