6 citations · 29 across the 25 of their papers we have counts for
3 papers · 1 filter
Proportions of Cyclic Matrices in Maximal Reducible Matrix Groups and Algebras
Scott Brown, Cheryl E. Praeger, Michael Giudici
A matrix is said to be {\it cyclic} if its characteristic polynomial is equal to its minimal polynomial. Cyclic matrices play an important role in some algorithms for matrix group…
An infinite family of biquasiprimitive 2-arc transitive cubic graphs
Alice Devillers, Michael Giudici, Cai Heng Li +1
A new infinite family of bipartite cubic 3-arc transitive graphs is constructed and studied. They provide the first known examples admitting a 2-arc transitive vertex-biquasiprimit…
Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph
Cheryl E. Praeger, Pablo Spiga, Gabriel Verret
In this paper we discuss a method for bounding the size of the stabiliser of a vertex in a -vertex-transitive graph . In the main result the group is quasiprimitive or bi…