An application of blocks to torsion units in group rings

Andreas Bächle, Leo Margolis

Onderzoeksoutput: Articlepeer review

4 Citaten (Scopus)

Samenvatting

We use the theory of blocks of cyclic defect to prove that under a certain condition on the principal p-block of a finite group G the normalized unit group of the integral group ring of G contains an element of order pq if and only if so does G, for q a prime different from p. Using this we verify the Prime Graph Question for all alternating and symmetric groups and also for two sporadic simple groups.
Originele taal-2English
Pagina's (van-tot)4221-4231
Aantal pagina's11
TijdschriftProceedings of the American Mathematical Society
Volume147
Nummer van het tijdschrift10
DOI's
StatusPublished - 2019

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