3 citations · 10 across the 20 of their papers we have counts for
20 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 and derived length
Edith Adan-Bante
Let be a finite group and , and be conjugacy classes of with . Denote by the number of distinct conjugacy class…
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…
Characters of prime degree
Edith Adan-Bante
Let be a finite nilpotent group, and be irreducible complex characters of of prime degree. Assume that . Then either the product is a multiple of an ir…
Symmetric groups and conjugacy classes
Edith Adan-Bante, Helena Verrill
Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial , we prove that the product of the conjugacy classes and …