The group E6(q) and graphs with a locally linear group of automorphisms

DOI10.1017/S0305004109990223zbMath1189.05077OpenAlexW2060023929MaRDI QIDQ3400937

Vladimir I. Trofimov, Richard M. Weiss

Publication date: 28 January 2010

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004109990223

zbMATH Keywords

projective special linear groupsvertex-transitive graphsarc-transitive graphslocal action

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (7)

A class of semiprimitive groups that are graph-restrictive ⋮ On symmetric and locally finite actions of groups on the quintic tree ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ On 2-arc-transitive graphs of order \(kp^{n}\) ⋮ On \(G\)-locally primitive graphs of locally twisted wreath type and a conjecture of Weiss ⋮ On the action of a group on a graph. II ⋮ Graphs with automorphism groups admitting composition factors of bounded rank

Cites Work

• On the cohomology of the finite special linear groups. I, II
• Graphs which are locally Grassmann
• Some groups generated by transvections
• On the geometry of algebraic homogeneous spaces
• GF(2)-Representations of Finite Groups
• Failure of factorization modules for lie-type groups in odd characteristic
• ARC TRANSITIVITY IN GRAPHS II
• An enemies list for factorization theorems
• Symmetric Graphs with Projective Subconstituents
• Graphs with a locally linear group of automorphisms

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