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See detailDescribing units of integral group rings up to commensurability
Eisele, F.; Kiefer, Ann UL; Van Gelder, I.

in J. Pure Appl. Algebra (2015), 219(7), 2901--2916

We restrict the types of 2 × 2-matrix rings 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 ... [more ▼]

We restrict the types of 2 × 2-matrix rings 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 ZG for all finite groups G that do not have a non-commutative Frobenius complement as a quotient. [less ▲]

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