Multiplicative subgroups of finite index in a ring-Reference-Cited by-同舟云学术

Multiplicative subgroups of finite index in a ring

Published:1992 Issue:4 Volume:116 Page:885-896
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bergelson Vitaly,Shapiro Daniel B.

Abstract

If G G is a subgroup of finite index in the multiplicative group of an infinite field K K then G − G = K G - G = K . Similar results hold for various rings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-116-04/S0002-9939-1992-1095220-5/S0002-9939-1992-1095220-5.pdf

Reference11 articles.

1. Extended Artin-Schreier theory of fields;Becker, Eberhard;Rocky Mountain J. Math.,1984

2. Ergodic Ramsey theory;Bergelson, Vitaly,1987

3. Additive properties of multiplicative subgroups of finite index in fields;Berrizbeitia, Pedro;Proc. Amer. Math. Soc.,1991

4. Recurrence in Ergodic Theory and Combinatorial Number Theory

5. Wiley-Interscience Series in Discrete Mathematics;Graham, Ronald L.,1980

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