M. Lewis

activity

20082022

most citedIsomorphism in expanding families of indistinguishable groups

38 citations · 154 across the 58 of their papers we have counts for

collaborators

Showing 2011 · math.GRShow all

2 papers · 2 filters

math.GR2011

Counting characters in blocks of solvable groups with abelian defect group

James P. Cossey, Mark L. Lewis

If $G$ is a solvable group and $p$ is a prime, then the Fong-Swan theorem shows that given any irreducible Brauer character $ϕ$ of $G$ , there exists a character $χ\in \irrg$ such t…

math.GR2011★ 16 cited

Square character degree graphs yield direct products

Mark L. Lewis, Qingyun Meng

If $G$ is a solvable group, we take $Δ (G)$ to be the character degree graph for $G$ with primes as vertices. We prove that if $Δ (G)$ is a square, then $G$ must be a direct product.