2 citations · 3 across the 5 of their papers we have counts for
5 papers
Condorcet Domains of Degree at most Seven
Dolica Akello-Egwell, Charles Leedham-Green, Alastair Litterick +2
In this paper we give the first explicit enumeration of all maximal Condorcet domains on alternatives. This has been accomplished by developing a new algorithm for constr…
The Largest Condorcet Domains on 8 Alternatives
Charles Leedham-Green, Klas Markström, Søren Riis
In this note, we report on a record-breaking Condorcet domain (CD) for n=8 alternatives. We show that there exists a CD of size 224, which is optimal and essentially unique (up to…
Presentations on standard generators for classical groups
C. R. Leedham-Green, E. A. O'Brien
For each family of finite classical groups, and their associated simple quotients, we provide an explicit presentation on a specific generating set of size at most 8. Since there e…
Explicit computation of Galois p-groups unramified at p
Nigel Boston, Charles Leedham-Green
In this paper we introduce a new method for finding Galois groups by computer. This is particularly effective in the case of Galois groups of p-extensions ramified at finitely many…
Counterexamples to a conjecture of Lemmermeyer
Nigel Boston, Charles Leedham-Green
We produce infinitely many finite 2-groups that do not embed with index 2 in any group generated by involutions. This disproves a conjecture of Lemmermeyer and restricts the possib…