Pith. sign in

REVIEW

On symmetric 2-(70,24,8) designs with an automorphism of order 6

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 2211.01237 v2 pith:KU6HWLSZ submitted 2022-11-02 math.CO

Sanja Rukavina (1) , Vladimir D. Tonchev (2) ((1) Faculty of Mathematics , University of Rijeka , Croatia , (2) Department of Mathematical Sciences , Michigan Technological University , Houghton , USA) This is my paper · ORCID
classification math.CO
keywords automorphismdesignsorderblockscongfixespointsaction
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper we analyze possible actions of an automorphism of order six on a $2$-$(70, 24, 8)$ design, and give a complete classification for the action of the cyclic automorphism group of order six $G= \langle \rho \rangle \cong Z_6 \cong Z_2 \times Z_3$ where $\rho^3$ fixes exactly $14$ points (blocks) and $\rho^2$ fixes $4$ points (blocks). Up to isomorphism, there are $3718$ such designs. This result significantly increases the number of known $2$-$(70,24,8)$ designs.

Discussion (0). Continue with ORCID to comment.

Pith tools