Warfield Invariants in Abelian Group Algebras
Warfield invariants in abelian group rings.
Let R be a perfect commutative unital ring without zero divisors of char(R) = p and let G be a multiplicative abelian group. Then the Warfield p-invariants of the normed unit group V (RG) are computed only in terms of R and G. These cardinal-to-ordinal functions, combined with the Ulm-Kaplansky p-invariants, completely determine the structure of V (RG) whenever G is a Warfield p-mixed group.
Weak polynomial identities and their applications
Let be an associative algebra over a field generated by a vector subspace . The polynomial of the free associative algebra is a weak polynomial identity for the pair if it vanishes in when evaluated on . We survey results on weak polynomial identities and on their applications to polynomial identities and central polynomials of associative and close to them nonassociative algebras and on the finite basis problem. We also present results on weak polynomial identities of degree three....
Weights for the Steinberg triality groups 3D4(q).
Weights of partitions and character zeros.
Weights, vertices and a correspondence of characters n groups of odd order.
Weil Representations of Finite Classical Groups.
W-graphs of representations of symmetric groups
When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?
Wreath products in modular group algebras of some finite 2-groups.
Wreath products in the unit group of modular group algebras of 2-groups of maximal class.