16 citations · 25 across the 6 of their papers we have counts for
6 papers
Products of conjugacy classes of the alternating group
Edith Adan-Bante, John Harris, Helena Verrill
Let A_n be the alternating group on n letters. For n>5, we describe the elements alpha, beta in A_n when alpha^{A_n} beta^{A_n} is the union of at most four distinct conjugacy clas…
On conjugacy classes of GL(n,q) and SL(n,q)
Edith Adan-Bante, John M. Harris
Let GL(n,q) be the group of nxn invertible matrices over a field with q elements, and SL(n,q) be the group of nxn matrices with determinant 1 over a field with q elements. We prove…
On conjugacy classes of SL
Edith Adan-Bante, John M. Harris
Let SL(2,q) be the group of 2X2 matrices with determinant one over a finite field F of size q. We prove that if q is even, then the product of any two noncentral conjugacy classes…
On the Kauffman bracket skein module of surgery on a (2,2b) torus link
John M. Harris
We show that the Kauffman bracket skein modules of certain manifolds obtained from integral surgery on a (2,2b) torus link are finitely generated, and list the generators for selec…
Continuity and separation for pointwise-symmetric isotonic closure functions
John M. Harris
In this paper, we show that a pointwise-symmetric isotonic closure function is uniquely determined by the pairs of sets it separates. We then show that when the closure function of…
On the Kauffman bracket skein module of the quaternionic manifold
Patrick M. Gilmer, John M. Harris
We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over Z[A,A^{-1}] localized by inverting all the cyclotomic polynomials. We prove th…