158 research outputs found
On torsion units in integral group rings of Frobenius groups
For a finite group , let be the semilocalization of
at the prime divisors of . If is a Frobenius group with
Frobenius kernel , it is shown that each torsion unit in the group ring
which maps to the identity under the natural ring
homomorphism is
conjugate to an element of by a unit in .Comment: 8 page
Zassenhaus conjecture for central extensions of S5
We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in
integral group rings for a covering group of the symmetric group S5 and for the general linear
group GLð2; 5Þ. The first result, together with others from the literature, settles the conjugacy
question for units of prime-power order in the integral group ring of a finite Frobenius group
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