Torsion units in integral group rings |
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| Authors: | Stanley Orlando Juriaans |
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| Affiliation: | Matemática e Estatistica , Universidade de Sao Paulo , Ag. Jardim Paulistano, Sao Paulo, 01452-990, Brasil |
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| Abstract: | Several special cases of the conjectures of Bovdi and Zassenhaus are proved. We also deal with special cases of the following conjecture: let α be a torsion unit of the integral group ring ZZG and m the smallest positive integer such that αm ∈G then, m is a divisor of the exponent of the quotient group G/Z(G) provided this exponent is finite |
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