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Let Cl(O K [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free O K [G]-modules, where O K is the ring of algebraic integers in the number field K and G is a finite group. We show how to compute the Swan subgroup, T (O K [G]), of Cl(O K [G]) when K = Q(ζp), ζp a primitive p-th root of unity, G = C 2 ,… (More)
The holomorph of a group G is N orm B (λ(G)), the normalizer of the left regular representation λ(G) in its group of permutations B = P erm(G). The multiple holomorph of G is the normalizer of the holomorph in B. The multiple holomorph and its quotient by the holomorph encodes a great deal of information about the holomorph itself and about the group λ(G)… (More)
• Currently a member of the Desktop Services Group assigned to the mathematics department. • At the same time as I manage the computer systems for the B.U. Mathematics Department, I have also taught various undergraduate mathematics courses including calculus, abstract algebra, linear algebra and discrete math.