The normalizer of a metabelian group in its integral group ring
نویسندگان
چکیده
منابع مشابه
Integral Group Ring of Rudvalis 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 Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm Kimmerle’s conjecture on prime graphs.
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متن کاملIntegral Group Ring of the Mclaughlin Simple Group
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متن کاملThe Dehn Function of Baumslag’s Metabelian Group
A. Baumslag’s group is a finitely presented metabelian group with a Z ≀ Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes Cm ≀ Z. We prove that Baumslag’s group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions. 2000 Mathematics Subject Classification: 20F65, 20F10
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2002
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00102-3