7 citations · 12 across the 6 of their papers we have counts for
6 papers
Clifford correspondences and irreducible restrictions of characters
Tom Wilde
For a finite group and complex character that restricts irreducibly to a normal subgroup we prove a theorem about Clifford correspo…
Supports of irreducible characters of p-groups
Tom Wilde
If chi is an irreducible character of a finite group G then the support of chi is the subset of G on which chi does not vanish. In this note, we study the supports of characters of…
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…
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…
Orders of elements and zeros and heights of characters in a finite group
Tom Wilde
Let χbe an irreducible character of the finite group G. If g is an element of G and χ(g) is not zero, then we conjecture that the order of g divides |G|/χ(1). The conjecture is a g…
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.