On the prime graph question for integral group rings of 4-primary groups I
2017 ◽
Vol 27
(06)
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pp. 731-767
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Keyword(s):
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 [Formula: see text] for [Formula: see text], 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.
2017 ◽
Vol 27
(06)
◽
pp. 619-631
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Keyword(s):
2018 ◽
Vol 22
(2)
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pp. 437-457
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2017 ◽
Vol 60
(4)
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pp. 813-830
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2000 ◽
Vol 3
◽
pp. 274-306
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1990 ◽
Vol 42
(3)
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pp. 383-394
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2006 ◽
pp. 215-228
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Keyword(s):
2010 ◽
Vol 80
(273)
◽
pp. 593-615
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