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Relative Galois module structure of rings of integers of absolutely abelian number fields
Published 2008Journal article -
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Sato–Tate distributions and Galois endomorphism modules in genus 2
Published 2013“…We then classify A according to the Galois module structure on the ℝ-algebra generated by endomorphisms of [superscript A][line over Q] (the Galois type), and establish a matching with the classification of Sato–Tate groups; this shows that there are at most 52 groups up to conjugacy which occur as Sato–Tate groups for suitable A and k, of which 34 can occur for k=ℚ. …”
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Computing generators of free modules over orders in group algebras
Published 2008“…The algorithm can be applied to certain Galois modules that arise naturally in this situation. …”
Journal article