Webstudying how primitive elements lift to a given nite, regular cover. Here we consider free groups as fundamental groups of graphs. We will de ne primitive homology Hprim 1 (Y;C) in Subsection 4.4 as the subrepresentation of the homology of the cover that comes from primitive elements in the original space. WebAug 1, 2024 · The finite edge-primitive pentavalent graphs Song-Tao Guo, Yan-Quan Feng, Caiheng Li Mathematics 2013 A graph is edge-primitive if its automorphism group acts primitively on edges. Weiss (in J. Comb. Theory Ser. B 15, 269–288, 1973) determined edge-primitive cubic graphs. In this paper, we classify… Expand 13 PDF
The finite edge-primitive pentavalent graphs - Springer
WebFeb 28, 2011 · Motivated by the study of several problems in algebraic graph theory, we study finite primitive permutation groups whose point stabilizers are soluble. Such primitive permutation groups are divided … WebTheorem 1.1. Let Γ be a connected nontrivial G-edge-primitive graph.Then Γ is G- arc-transitive, and one of the following holds. 1. Γ is G-vertex-primitive. 2. Γ is G-vertex-biprimitive. 3. Γ is a spread of a G-edge-primitive graph which is G-locally imprimitive. Conversely, a G-edge-primitive, G-locally imprimitive graph Σ is a quotient graph of a … mesh terrain unity
dblp: Jiangmin Pan
WebApr 9, 2009 · Given an infinite family of finite primitive groups, conditions are found which ensure that almost all the orbitals are not self-paired. If p is a prime number congruent to ±1(mod 10), these conditions apply to the groups P S L (2, p) acting on the cosets of a subgroup isomorphic to A 5.In this way, infinitely many vertex-primitive ½-transitive … WebFeb 12, 2014 · Let X be a finite simple undirected graph with a subgroup G of the full automorphism group Aut(X). Then X is said to be (G, s)-transitive for a positive integer s, if G is transitive on s-arcs but not on (s + 1)-arcs, and s-transitive if it is (Aut(X), s)-transitive. Let G v be a stabilizer of a vertex v ∈ V (X) in G. Up to now, the structures of vertex … WebOct 1, 2024 · A graph is edge-primitive if its automorphism group acts primitively on the edge set. In this short paper, we prove that a finite 2-arc-transitive edge-primitive graph has almost simple automorphism… 2 PDF References SHOWING 1-10 OF 24 REFERENCES SORT BY On finite edge-primitive and edge-quasiprimitive graphs … how tall is emma lovewell