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math.RA2006
Hypercentral unit groups and the hyperbolicity of a modular group algebra
E. Iwaki, S. O. Juriaans
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).
math.RA2006
On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property
S. O. Juriaans, A. C. Souza Filho
We classify the finite semigroups S, for which all the Z-orders O of the rational Q-algebra QS, is such that the unit group U(O) is hyperbolic. We also classify the RA-loops L, for…