Additive properties of subgroups of finite index in fields

DOI10.1016/j.jnt.2010.10.008zbMath1218.12001OpenAlexW2069207586MaRDI QIDQ627621

Pedro Berrizbeitia, Florian Luca

Publication date: 3 March 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.10.008

zbMATH Keywords

fieldssubgroups of finite indexadditive dimension

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Field arithmetic (12E30)

Cites Work

• On digit sums of multiples of an integer
• On a problem of Oppenheim concerning Factorisatio Numerorum
• On finite homomorphic images of the multiplicative group of a division algebra
• Additive Properties of Multiplicative Subgroups of Finite Index in Fields
• Multiplicative Subgroups of Finite Index in a Ring
• Multiplicative Subgroups of Finite Index in a Division Ring
• Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable
• Multiplicative Subgroups of Index Three in a Field
• Valuation-like maps and the congruence subgroup property
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