40 citations · 259 across the 61 of their papers we have counts for
4 papers · 1 filter
Generalised quadrangles with a group of automorphisms acting primitively on points and lines
John Bamberg, Michael Giudici, Joy Morris +2
We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if…
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…
The classification of almost simple -transitive groups
John Bamberg, Michael Giudici, Martin W. Liebeck +2
A finite transitive permutation group is said to be 3/2-transitive if all the nontrivial orbits of a point stabilizer have the same size greater than 1. Examples include the 2-tran…