Abstract
Let A be a torsion free abelian group and let G be the group of its automorphisms. Hallett and Hirsch proved that, if G is finite then G has to be a subdirect product of some copies of 6 explicitly distinguished small groups.
Our aim here is to extend this result to the case when G is periodic. We proceed in the context of rings and their groups of units
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© 1995 Springer Science+Business Media Dordrecht
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Krempa, J. (1995). Rings with Periodic Unit Groups. In: Facchini, A., Menini, C. (eds) Abelian Groups and Modules. Mathematics and Its Applications, vol 343. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0443-2_26
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DOI: https://doi.org/10.1007/978-94-011-0443-2_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4198-0
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