On a conjecture of Alperin and McKay.
On bounded cohomology of amalgamated products of groups.
On characters of coprime operator groups and the Glaubermann character correspondence.
On Groups of Central Type.
On Irreducibel Representations of p-soluble Groups in Characteristic p.
On monomial groups.
On Prime Ideals in Representation Rings.
On sharp characters of type
For a complex character of a finite group , it is known that the product is a multiple of , where is the image of on . The character is said to be a sharp character of type if and . If the principal character of is not an irreducible constituent of , then the character is called normalized. It is proposed as a problem by P. J. Cameron and M. Kiyota, to find finite groups with normalized sharp characters of type . Here we prove that such a group with nontrivial center is...
On sM-group.
On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2.
On supercharacter theoretic generalizations of monomial groups and Artin's conjecture
We extend the notions of quasi-monomial groups and almost monomial groups in the framework of supercharacter theories, and we study their connection with Artin’s conjecture regarding the holomorphy of Artin -functions.
On the Burnside ring and stable cohomotopy of a finite group.
On the Construction of Primitive Elements in Field Extensions.
On the Euler class of representations of finite groups over real fields.
On the monomiality of groups of order between 100 and 200. I.
On the monomiality of groups of order between 100 and 200. II.
On the projective characters in characteristic 2 of the groups and
On the representation theory of braid groups
This work presents an approach towards the representation theory of the braid groups . We focus on finite-dimensional representations over the field of Laurent series which can be obtained from representations of infinitesimal braids, with the help of Drinfeld associators. We set a dictionary between representation-theoretic properties of these two structures, and tools to describe the representations thus obtained. We give an explanation for the frequent apparition of unitary structures on classical...
On the semiproportional character conjecture.
On the symplectic structure of irreducible representation modules of the metacyclic group . (Zur symplektischen Struktur irreduzibler Darstellungsmoduln der metazyklischen Gruppe .)