Yugen Takegahara

p-Divisibility of the Number of Solutions of xp = 1 in a Symmetric Group

Abstract. For a prime p and for the number a(n) of solutions of xp = 1 in the symmetric group on n letters, ordp

The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II)

(a(n)) \geq [n/p] - [n/p^2]

On Butler's Unimodality Result

, and especially, ordp

Character Theoretical Aspects of Nilpotency Class

(a(n)) = [n/p] - [n/p^2]

On Wohlfahrt Formula for Finite Abelian Groups

provided

On the Number of Homomorphisms from a Finite Group to a General Linear Group

n \equiv 0

A Generating Function for the Number of Homomorphisms from a Finitely Generated Abelian Group to an Alternating Group

mod p2. Let r be an integer with

On the Frobenius Numbers of Symmetric Groups

1 \leq r \leq p^2 - 1

The units of a partial Burnside ring relative to the Young subgroups of a symmetric group

. If ordp

Multiple Burnside rings and Brauer induction formulae

(a(r)) \leq [r/p] + 1