Integral group ring of the Suzuki sporadic simple group
Copyright policy )Integral group ring of the Suzuki sporadic simple group
Using the Luthar--Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz. As a consequence, for this group we confirm the Kimmerle's conjecture on prime graphs.
12 pages
integral group rings, 20D08, Units, groups of units (associative rings and algebras), QA Mathematics / matematika, Group rings, 20C05, torsion units, Mathematics - Rings and Algebras, Group Theory (math.GR), Suzuki sporadic simple group, Kimmerle conjecture, Rings and Algebras (math.RA), partial augmentation, normalized unit groups, FOS: Mathematics, QA72 Algebra / algebra, 16S34, 16S34; 20C05; 20D08, Mathematics - Group Theory, Group rings of finite groups and their modules (group-theoretic aspects), Simple groups: sporadic groups, Zassenhaus conjectures
integral group rings, 20D08, Units, groups of units (associative rings and algebras), QA Mathematics / matematika, Group rings, 20C05, torsion units, Mathematics - Rings and Algebras, Group Theory (math.GR), Suzuki sporadic simple group, Kimmerle conjecture, Rings and Algebras (math.RA), partial augmentation, normalized unit groups, FOS: Mathematics, QA72 Algebra / algebra, 16S34, 16S34; 20C05; 20D08, Mathematics - Group Theory, Group rings of finite groups and their modules (group-theoretic aspects), Simple groups: sporadic groups, Zassenhaus conjectures
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