3 papers
math.CO2008★ 7 cited
Implicit higher derivatives, and a formula of Comtet and Fiolet
Tom Wilde
Let F(x,y) be a function of two variables, and suppose y = f(x) satisfies F(x,y)=0 in some range. Then dy/dx = -Fx/Fy, where Fx and Fy denote the partial derivatives of F with resp…
math.RT2007★ 1 cited
Primitive Characters and Permutation Characters of Solvable Groups
Tom Wilde
Let X be an irreducible, primitive complex character of the finite solvable group G, and let X* denote the complex conjugate character. If the degree X(1) is odd, then we show how…
math.GR1998
A Bound for the Nilpotency Class of a Finite p-Group in terms of its Coexponent
Paul J. Sanders, Tom S. Wilde
The coexponent of a finite p-group is introduced and we consider how the nilpotency class is bounded in terms of this invariant.