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arxiv: math/0610803 · v1 · submitted 2006-10-26 · 🧮 math.RA · math.GR

Hypercentral unit groups and the hyperbolicity of a modular group algebra

classification 🧮 math.RA math.GR
keywords groupgroupsunitalgebraclassifyhypercentralmodularhyperbolic
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We classify groups G such that the unit group U(ZG) is hypercentral. In the second part we classify groups G whose modular group algebra has hyperbolic unit group V(KG).

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