Cubic graphical regular representations of Ree groups
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Publication:6172812
DOI10.1080/00927872.2023.2187627zbMath1518.05078OpenAlexW4328090389MaRDI QIDQ6172812
Teng Fang, Sanming Zhou, Binzhou Xia, Shasha Zheng
Publication date: 20 July 2023
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2023.2187627
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial probability (60C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Integral representations of finite groups (20C10) Simple groups: alternating groups and groups of Lie type (20D06) Symmetry properties of polytopes (52B15) Combinatorial aspects of groups and algebras (05E16)
Cites Work
- Unnamed Item
- Cubic graphical regular representations of \(\operatorname{PSL}_2(q)\)
- Recognising the small Ree groups in their natural representations.
- Symmetry properties of Cayley graphs of small valencies on the alternating group \(A_5\)
- Structure of Ree groups
- The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
- On cubic Cayley graphs of finite simple groups
- The automorphism groups of some cubic Cayley graphs
- Cubic graphical regular representations of some classical simple groups
- Cubic graphical regular representations of \(\mathrm{PSU}_3(q)\)
- Designs from maximal subgroups and conjugacy classes of Ree groups
- Cubic graphical regular representations of \(\mathrm{PSL}_3(q)\)
- On cubic graphical regular representations of finite simple groups
- Vertex-transitive graphs
- On the action of non-Abelian groups on graphs
- A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
- The Finite Simple Groups
- Cubic graphical regular representations of finite non-abelian simple groups
- The M\"obius function of the small Ree groups
- Some symmetric designs invariant under the small Ree groups
- Chiral polyhedra and finite simple groups
- On the non-existence of graphs with transitive generalized dicyclic groups
- On a Theorem of Sabidussi