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 2018 · math.GRShow all

7 papers · 2 filters

math.GR2018

$p$ -groups with $p^{2}$ as a codegree

Sarah Croome, Mark L. Lewis

Let $G$ be a $p$ -group and let $χ$ be an irreducible character of $G$ . The codegree of $χ$ is given by $∣ G : ker (χ) ∣/ χ (1)$ . This paper investigates the relationship between th…

math.GR2018★ 2 cited

Simple Groups Whose Prime Graph or Solvable Graph is Split

Mark L. Lewis, J. Mirzajani, A. R. Moghaddamfar +2

A graph is split if there is a partition of its vertex set into a clique and an independent set. The present paper is devoted to the splitness of some graphs related to finite simp…

math.GR2018★ 4 cited

Character codegrees of maximal class p-groups

Sarah Croome, Mark L. Lewis

Let $G$ be a $p$ -group and let $χ$ be an irreducible character of $G$ . The codegree of $χ$ is given by $∣ G : ker (χ) ∣/ χ (1)$ . If $G$ is a maximal class $p$ -group that is normall…

math.GR2018

A Generalization of the Hughes Subgroup

Mark L. Lewis, Mario Sracic

Let $G$ be a finite group, $π$ be a set of primes, and define $H_{π} (G)$ to be the subgroup generated by all elements of $G$ which do not have prime order for every prime in $π$ . In…

math.GR2018

Splitting via Noncommutativity

M. L. Lewis, D. V. Lytkina, V. D. Mazurov +1

Let $G$ be a nonabelian group and $n$ a natural number. We say that $G$ has a strict $n$ -split decomposition if it can be partitioned as the disjoint union of an abelian subgroup $…

math.GR2018

Enumerating isoclinism classes of semi-extraspecial groups

Mark L. Lewis, Joshua Maglione

We enumerate the number of isoclinism classes of semi-extraspecial $p$ -groups with derived subgroup of order $p^{2}$ . To do this, we enumerate $GL (2, p)$ -orbits of sets of irr…

p-groups with p2 as a codegree

Simple Groups Whose Prime Graph or Solvable Graph is Split

Character codegrees of maximal class p-groups

A Generalization of the Hughes Subgroup

Splitting via Noncommutativity

Enumerating isoclinism classes of semi-extraspecial groups

$p$ -groups with $p^{2}$ as a codegree