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Multiplicative subgroups of finite index in a ring

Authors: Vitaly Bergelson and Daniel B. Shapiro
Journal: Proc. Amer. Math. Soc. 116 (1992), 885-896
MSC: Primary 16B99; Secondary 05D10, 12E99
MathSciNet review: 1095220
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Abstract: If $ G$ is a subgroup of finite index in the multiplicative group of an infinite field $ K$ then $ G - G = K$. Similar results hold for various rings.

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Article copyright: © Copyright 1992 American Mathematical Society

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