Regular Parameter Elements and Regular Local Hyperrings

Character Values at Regular Elements

There has been a good deal of work in the last decade or so on computing upper bounds of irreducible character values for finite simple groups [G1, G2, GM, LS2, LP, MS-P, R]. Some of this work concerns permutation groups, some groups of Lie type. Some is aimed at worst-case behavior, some at the character values of typical or at least fairly well-behaved elements. Various applications have been...

On Regular Local Rings1

This paper generalizes slightly a result of Kunz [l ] and Nakai [2]. If R>S are commutative rings with identity we introduce a module D*(R/S) defined as the quotient of the module D(R/S) oí S differentials of A by the submodule consisting of elements which are mapped to zero by every homomorphism of D(R/S) having values in a finitely generated A module. The characteristic exponent of a field is...

Regular, pseudo-regular, and almost regular matrices

We give lower bounds on the largest singular value of arbitrary matrices, some of which are asymptotically tight for almost all matrices. To study when these bounds are exact, we introduce several combinatorial concepts. In particular, we introduce regular, pseudo-regular, and almost regular matrices. Nonnegative, symmetric, almost regular matrices were studied earlier by Ho¤man, Wolfe, and Ho¤...

Strict LT2 : Regular : : Local : Recognizable

Springer’s Regular Elements over Arbitrary Fields

Springer’s theory of regular elements in complex reflection groups is generalized to arbitrary fields. Consequences for the cyclic sieving phenomenon in combinatorics are discussed.