Non-expander Cayley Graphs of Simple Groups

DOI10.1080/00927872.2013.865041zbMath1322.20038arXiv1302.1629OpenAlexW2033773746MaRDI QIDQ5249914

Gábor Somlai

Publication date: 13 May 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1629

zbMATH Keywords

generatorsCayley graphsexpanderssimple groups of Lie typeisoperimetric numbers

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Connectivity (05C40)

Cites Work

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• Two local conditions on the vertex stabiliser of arc-transitive graphs and their effect on the Sylow subgroups
• Expander graphs in pure and applied mathematics
• Generators for Simple Groups
• Finite simple groups as expanders

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