98 research outputs found
On the Prime Graph Question for Integral Group Rings of 4-primary groups I
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 for , establishing the Prime Graph Question for the first time for all
automorphic extensions of series of simple groups. 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 different primes.Comment: [v3] 32 pages. Final versio
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