The prime spectrum of an automorphism group of an 𝐴𝑇4(𝑝,𝑝+2,𝑟)-graph

DOI10.1090/spmj/1677zbMath1473.05322arXiv2009.11774OpenAlexW3197236422MaRDI QIDQ5155641

Ludmila Yur'evna Tsiovkina

Publication date: 8 October 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11774

zbMATH Keywords

automorphism groupstrongly regular graphprime spectrumantipodal tight graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Group actions on combinatorial structures (05E18)

Cites Work

• On distance-regular graphs in which neighborhoods of vertices are strongly regular
• Strongly regular graphs with non-trivial automorphisms
• Distance-regular graphs with complete multipartite \(\mu\)-graphs and AT4 family
• Three new distance-regular graphs
• Tight distance-regular graphs
• AT4 family and 2-homogeneous graphs
• On automorphism groups of \(\mathrm{AT}4(7, 9, r)\)-graphs and of their local subgraphs
• On the automorphism group of an antipodal tight graph of diameter 4 with parameters \((5, 7, r)\)
• On automorphisms of a distance-regular graph with intersection array $\{69, 56, 10; 1, 14, 60\}$
• Finite simple groups with narrow prime spectrum.
• Thompson-like characterizations of the solvable radical.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The prime spectrum of an automorphism group of an 𝐴𝑇4(𝑝,𝑝+2,𝑟)-graph