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 2010Show all

6 papers · 1 filter

math.GR2010

Solvable groups satisfying the two-prime hypothesis II

James Hamblin, Mark L. Lewis

In this paper, we consider solvable groups that satisfy the two-prime hypothesis. We prove that if $G$ is such a group and $G$ has no nonabelian nilpotent quotients, then $|\cd G|…

math.GR2010

Lifts and vertex pairs in solvable groups

James P. Cossey, Mark L. Lewis

Suppose $G$ is a $p$ -solvable group, where $p$ is odd. We explore the connection between lifts of Brauer characters of $G$ and certain local objects in $G$ , called vertex pairs. We…

math.GR2010★ 38 cited

Isomorphism in expanding families of indistinguishable groups

Mark L. Lewis, James B. Wilson

For every odd prime $p$ and every integer $n \geq 12$ there is a Heisenberg group of order $p^{5 n /4 + O (1)}$ that has $p^{n^{2} /24 + O (n)}$ pairwise nonisomorphic quotients of order $p^{n…

math.GR2010★ 1 cited

Bounding an index by the largest character degree of a solvable group

Mark L. Lewis

In this paper, we show that if $p$ is a prime and $G$ is a $p$ -solvable group, then $∣ G : O_{p} (G) ∣_{p} \leq (b (G)^{p} / p)^{1/ (p - 1)}$ where $b (G)$ is the largest character degree of $G$ .…

math.GR2010

Inducing $π$ -partial characters with a given vertex

Mark L. Lewis

Let $G$ be a solvable group. Let $p$ be a prime and let $Q$ be a $p$ -subgroup of a subgroup $V$ . Suppose $ϕ\in \ibr G$. If either $∣ G ∣$ is odd or $p = 2$ , we prove that the number…

math.GR2010★ 2 cited

Counting lifts of Brauer characters

James P. Cossey, Mark L. Lewis

In this paper we examine the behavior of lifts of Brauer characters in p-solvable groups where p is an odd prime. In the main result, we show that if ϕ\in IBrp(G) is a Brauer chara…

Solvable groups satisfying the two-prime hypothesis II

Lifts and vertex pairs in solvable groups

Isomorphism in expanding families of indistinguishable groups

Bounding an index by the largest character degree of a solvable group

Inducing π-partial characters with a given vertex

Counting lifts of Brauer characters

Inducing $π$ -partial characters with a given vertex