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- Timothy Kohl, Daniel R. Replogle
- Math. Comput.
- 2002

Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK 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 (OK [G]), of Cl(OK [G]) when K = Q(ζp), ζp a primitive p-th root of unity, G = C2, where p is… (More)

- Timothy Kohl, Daniel R. Replogle
- Finite Fields and Their Applications
- 2005

Let Km = Q(ζm) where ζm is a primitive mth root of unity. Let p > 2 be prime and let Cp denote the group of order p. The ring of algebraic integers of Km is Om = Z[ζm]. Let Λm,p denote the order Om[Cp] in the algebra Km[Cp]. Consider the kernel group D(Λm,p) and the Swan subgroup T (Λm,p). If (p,m) = 1 these two subgroups of the class group coincide.… (More)

- Timothy Kohl
- 2015

The holomorph of a group G is NormB(λ(G)), the normalizer of the left regular representation λ(G) in its group of permutations B = Perm(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) and… (More)

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