On multivalued groups of order 3 | Sciact

On multivalued groups of order 3 Full article

Journal

Science China Mathematics
ISSN: 1674-7283 , E-ISSN: 1869-1862

Output data

Year: 2025, Volume: 68, Number: 8, Pages: 1969–1978 Pages count : 10 DOI: 10.1007/s11425-024-2388-0

Tags

n-valued group, strongly regular graph, rank 3 permutation group

Authors

Guo Jin ¹ , Ponomarenko Ilia ² , Vasil’ev Andrey V. ³

Affiliations

1	School of Mathematics and Statistics, Hainan University
2	Steklov Institute of Mathematics at St. Petersburg
3	Sobolev Institute of Mathematics

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0002

A complete classification of the multivalued coset groups of order 3 is given. The proof is based on the classification of rank 3 groups having regular normal subgroups.

Guo J. , Ponomarenko I. , Vasil’ev A.V.
On multivalued groups of order 3
Science China Mathematics. 2025. V.68. N8. P.1969–1978. DOI: 10.1007/s11425-024-2388-0 WOS Scopus OpenAlex

Submitted:	Oct 6, 2024
Accepted:	Feb 10, 2025
Published online:	Jun 11, 2025
Published print:	Jul 28, 2025

Web of science:	WOS:001509422000001
Scopus:	2-s2.0-105008234283
OpenAlex:	W4411328048

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