38 citations · 154 across the 58 of their papers we have counts for
6 papers · 2 filters
Semi-extraspecial groups with an abelian subgroup of maximal possible order
Mark L. Lewis
Let be a prime. A -group is defined to be semi-extraspecial if for every maximal subgroup in the quotient is a an extraspecial group. In addition, we sa…
Semi-extraspecial Groups
Mark L. Lewis
We survey the results regarding semi-extraspecial -groups. Semi-extraspecial groups can be viewed as generalizations of extraspecial groups. We present the connections between s…
Itô's theorem and monomial Brauer characters
Xiaoyou Chen, Mark L. Lewis
Let be a finite solvable group, and let be a prime. In this note, we prove that does not divide for every irreducible monomial -Brauer character of if…
Groups with one or two super-Brauer character theories
Xiaoyou Chen, Mark L. Lewis
A super-Brauer character theory of a group and a prime is a pair consisting of a partition of the irreducible -Brauer characters and a partition of the -regular eleme…
Upper and lower bounds on Chillag table sums
Xiaoyou Chen, Mark L. Lewis, Hung P. Tong-Viet
Chillag has showed that there is a single generalization showing that the sums of ordinary character tables, Brauer character, and projective indecomposable characters are positive…
Groups satisfying the two-prime hypothesis with a composition factor isomorphic to for
Mark L. Lewis, Yanjun Liu, Hung P. Tong-Viet
Let be a finite group, and write for the degree set of the complex irreducible characters of . The group is said to satisfy the {\it two-prime hypothesis}…