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 2012Show all

2 papers · 1 filter

math.GR2012★ 9 cited

Bounding group orders by large character degrees: A question of Snyder

Mark L. Lewis

Let $G$ be a nonabelian finite group and let $d$ be an irreducible character degree of $G$ . Then there is a positive integer $e$ so that $∣ G ∣ = d (d + e)$ . Snyder has shown that if $e…

math.GR2012★ 17 cited

p-Group Camina pairs

Mark L. Lewis

Let $(G, Z (G))$ be a Camina pair. We prove that $G$ must be a $p$ -group for some prime $p$ . We also prove that $∣ Z (G) ∣ < ∣ G : Z (G) ∣^{3/4}$ . Also, we discuss how one might build exampl…