18 citations · 75 across the 39 of their papers we have counts for
5 papers · 1 filter
Searching for knights and spies: a majority/minority game
Mark Wildon
There are n people, each of whom is either a knight or a spy. It is known that at least k knights are present, where n/2 < k < n. Knights always tell the truth. We consider both sp…
Sylow subgroups of symmetric and alternating groups and the vertex of in characteristic
Eugenio Giannelli, Kay Jin Lim, Mark Wildon
We show that the Sylow -subgroups of a symmetric group, respectively an alternating group, are characterized as the -subgroups containing all elementary abelian -subgroups…
Minimal and maximal constituents of twisted Foulkes characters
Rowena Paget, Mark Wildon
We prove combinatorial rules that give the minimal and maximal partitions labelling the irreducible constituents of a family of characters for the symmetric group that generalize F…
A combinatorial proof of a plethystic Murnaghan--Nakayama rule
Mark Wildon
This article gives a combinatorial proof of a plethystic generalization of the Murnaghan--Nakayama rule. The main result expresses the product of a Schur function with the plethysm…
The majority game with an arbitrary majority
John R. Britnell, Mark Wildon
The -majority game is played with numbered balls, each coloured with one of two colours. It is given that there are at least balls of the majority colour, where is a…