Integral group ring of the Mathieu simple groupM 12
نویسندگان
چکیده
منابع مشابه
Torsion Units in Integral Group Ring of the Mathieu Simple Group
We investigate the possible character values of torsion units of thenormalized unit group of the integral group ring of Mathieu sporadic groupM22. We confirm the Kimmerle conjecture on prime graphs for this group andspecify the partial augmentations for possible counterexamples to the strongerZassenhaus conjecture.
متن کاملTorsion Units in Integral Group Ring of the Mathieu Simple Group M22
We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of Mathieu sporadic groupM22. We confirm the Kimmerle conjecture on prime graphs for this group andspecify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.
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We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M 12. As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.
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Using the Luthar–Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm Kimmerle’s conjecture on prime graphs.
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ژورنال
عنوان ژورنال: Rendiconti del Circolo Matematico di Palermo
سال: 2007
ISSN: 0009-725X,1973-4409
DOI: 10.1007/bf03031434