Translates of subgroups of the multiplicative group of a finite field

P. J. Cameron; J. I. Hall; J. H. van Lint; T. A. Springer; H. C A van Tilborg

doi:10.1016/1385-7258(75)90000-1

Translates of subgroups of the multiplicative group of a finite field

P. J. Cameron^*, J. I. Hall, J. H. van Lint, T. A. Springer, H. C A van Tilborg

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Let k be a finite field, ξ ∈ k, G a subgroup of k^x. We classify the triples (k, ξ, G) for which the set ξ + G intersects less than 3 cosets of G in k^x.

Original language	English
Pages (from-to)	285-289
Number of pages	5
Journal	Indagationes Mathematicae (Proceedings)
Volume	78
Issue number	4
DOIs	https://doi.org/10.1016/1385-7258(75)90000-1
Publication status	Published - 1 Dec 1975

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title = "Translates of subgroups of the multiplicative group of a finite field",

abstract = "Let k be a finite field, ξ ∈ k, G a subgroup of kx. We classify the triples (k, ξ, G) for which the set ξ + G intersects less than 3 cosets of G in kx.",

author = "Cameron, {P. J.} and Hall, {J. I.} and {van Lint}, {J. H.} and Springer, {T. A.} and {van Tilborg}, {H. C A}",

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AU - Cameron, P. J.

AU - Hall, J. I.

AU - van Lint, J. H.

AU - Springer, T. A.

AU - van Tilborg, H. C A

PY - 1975/12/1

Y1 - 1975/12/1

N2 - Let k be a finite field, ξ ∈ k, G a subgroup of kx. We classify the triples (k, ξ, G) for which the set ξ + G intersects less than 3 cosets of G in kx.

AB - Let k be a finite field, ξ ∈ k, G a subgroup of kx. We classify the triples (k, ξ, G) for which the set ξ + G intersects less than 3 cosets of G in kx.

U2 - 10.1016/1385-7258(75)90000-1

DO - 10.1016/1385-7258(75)90000-1

M3 - Article

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VL - 78

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EP - 289

JO - Indagationes Mathematicae (Proceedings)

JF - Indagationes Mathematicae (Proceedings)

IS - 4

ER -

Translates of subgroups of the multiplicative group of a finite field

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