J. Cossey

activity

20062026

most citedConstructing all irreducible Specht modules in a block of the symmetric group

3 citations · 5 across the 8 of their papers we have counts for

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math.GR2006

A construction of two distinct canonical sets of lifts of Brauer characters of a p-solvable group

James P. Cossey

Navarro defined the set $I r r (G ∣ Q, δ) \subseteq I r r (G)$ , where $Q$ is a $p$ -subgroup of a $p$ -solvable group $G$ , and shows that if $δ$ is the trivial character of $Q$ , the…

math.GR2006

Bounds on the number of lifts of a Brauer character in a p-solvable group

James P. Cossey

The Fong-Swan theorem shows that for a $p$ -solvable group $G$ and Brauer character $ϕ\in \ibrg$, there is an ordinary character $χ\in \irrg$ such that $χ^{0} = ϕ$ , where $^{0}$ denotes…

math.CO2006★ 3 cited

Constructing all irreducible Specht modules in a block of the symmetric group

James P. Cossey, Matthew Ondrus, C. Ryan Vinroot

For any prime p, we construct, and simultaneously count, all of the complex Specht modules in a given p-block of the symmetric group which remain irreducible when reduced modulo p.…