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The number of differences in groups of prime order

  • V. G. Sargsyan
Published/Copyright: December 5, 2013

Abstract

- A subset A of a group G is called a difference if there exists a subset B ⊆ G such that A = B − B, where

B − B = {x − y | x, y ∈ B}.

The asymptotic behavior of the logarithm of the number of differences in groups of prime order is studied.

This work was supported by the Russian Foundation for Basic Research, grant 13-01- 00958a.

References

Published Online: 2013-12-05
Published in Print: 2013-12

© 2013 by Walter de Gruyter GmbH & Co.

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