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arXiv 2014-01-30 0 views

Describing units of integral group rings up to commensurability

Eisele, Florian · Kiefer, Ann · Van Gelder, Inneke

Original · EN

We restrict the type of 2 × 2-matrices which can occur as simple components in the Wedderburn decomposition of the rational group algebra of a finite group. This results in a description up to commensurability of the group of units of the integral group ring Z G for all finite groups G that do not have a non-commutative Frobenius complement as a quotient.

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