On R. Griess' "Friendly giant".
On semisimple classes and semisimple characters in finite reductive groups
In this article, we study the elements with disconnected centralizer in the Brauer complex associated to a simple algebraic group defined over a finite field with corresponding Frobenius map and derive the number of -stable semisimple classes of with disconnected centralizer when the order of the fundamental group has prime order. We also discuss extendibility of semisimple characters of the fixed point subgroup to their inertia group in the full automorphism group. As a consequence, we...
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 Signatures of Green Functors.
On sM-group.
On soluble groups of module automorphisms of finite rank
Let be a commutative ring, an -module and a group of -automorphisms of , usually with some sort of rank restriction on . We study the transfer of hypotheses between and such as Noetherian or having finite composition length. In this we extend recent work of Dixon, Kurdachenko and Otal and of Kurdachenko, Subbotin and Chupordia. For example, suppose is -Noetherian. If has finite rank, then also is -Noetherian. Further, if is -Noetherian and if only certain abelian sections...
On some questions concerning permutable subgroups of finitely generated groups and projectivities of perfect groups
On some spaces of linear functionals on the algebras for locally compact groups
On special pieces in the unipotent variety.
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 symmetric functions and the spin characters of
On the automorphism group of Solomon's descent algebra.
On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes.
On the Burnside ring and stable cohomotopy of a finite group.
On the closed left ideals of the group algebra
On the cohomology of groups of p-length 1.
On the combinatorics of Young-Capelli symmetrizers.
On the Construction of Primitive Elements in Field Extensions.
On the decomposition map of Grothendieck groups.