On the prime graph question for integral group rings of 4-primary groups I

Leo Margolis, Andreas Bächle

Onderzoeksoutput: Articlepeer review

9 Citaten (Scopus)

Samenvatting

We study the Prime Graph Question for integral group rings. This question can be reduced to almost simple groups by a result of Kimmerle and Konovalov. We prove that the Prime Graph Question has an affirmative answer for all almost simple groups having a socle isomorphic to PSL(2,pf) for f≤2, establishing the Prime Graph Question for all groups where the only non-abelian composition factors are of the aforementioned form. Using this, we determine exactly how far the so-called HeLP method can take us for (almost simple) groups having an order divisible by at most four different primes.
Originele taal-2English
Pagina's (van-tot)731-767
Aantal pagina's37
TijdschriftInternational Journal of Algebra and Computation
Volume27
Nummer van het tijdschrift6
DOI's
StatusPublished - sep 2017

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