Concepedia

Cap Sets

A cap set is a subset of a finite-dimensional vector space over a finite field, specifically in $\mathbb{F}_3^n$, that contains no three distinct elements in arithmetic progression, thereby distinguishing it as a maximal progression-free set in the context of additive combinatorics.

23

Publications

1.1K

Citations

71

Authors

38

Institutions

Publications per year

2017–2026

5

Variants

Capsets

Parents

Publications

23

MODIS tasselled cap: land cover characteristics expressed through transformed MODIS data

S. E. Lobser, Warren B. Cohen · International Journal of Remote Sensing · 2007 · 199 citations

, , +17

On large subsets of $\mathbb{F}_q^n$ with no three-term arithmetic progression

Jordan S. Ellenberg, Dion Gijswijt · Annals of Mathematics · 2016 · 139 citations

, , +11

The Relative Termination Experience of Adjustable to Fixed‐Rate Mortgages

Donald F. Cunningham, Charles A. Capone · The Journal of Finance · 1990 · 133 citations

, , +10

On cap sets and the group-theoretic approach to matrix multiplication

Jonah Blasiak, Thomas M. Church, Henry Cohn et al. · Discrete Analysis · 2017 · 96 citations · Full text

, , +16

New bounds on cap sets

IUScholarWorks (Indiana University) · 2014 · 67 citations · Full text

, , +7

1–5 of 23

Authors

71

  1. NH
    Nets Hawk Katz

    University of California, Los Angeles, United States

    2 publications · 22 citations

    2

    h-index

  2. MB
    Michael Bateman

    University of California, Los Angeles, United States

    2 publications · 22 citations

    2

    h-index

  3. MR
    Misagh Rahbari

    Kharazmi University, Iran

    1 publications · 17 citations

    1

    h-index

  4. RY
    Robert Y. Lewis

    Vrije Universiteit Amsterdam, Netherlands

    1 publications · 11 citations

    1

    h-index

  5. QZ
    Qinghua Zhang

    China Academy of Engineering Physics, China

    1 publications · 20 citations

    1

    h-index

1–5 of 71

Institutions

38

  1. Indiana University Bloomington

    Bloomington, United States

    2 h-index

    2 publications

    77 citations

  2. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    2 publications

    77 citations

  3. Wageningen University & Research

    Wageningen, The Netherlands

    2 h-index

    5 publications

    224 citations

  4. Delft University of Technology

    Delft, The Netherlands

    1 h-index

    1 publications

    139 citations

  5. Gojo (United States)

    Akron, United States

    1 h-index

    1 publications

    13 citations

  6. Montana State University

    Bozeman, United States

    1 h-index

    1 publications

    13 citations

  7. Stanford University

    Stanford, United States

    1 h-index

    1 publications

    96 citations

  8. University of Tehran

    Tehran, Iran

    1 h-index

    1 publications

    17 citations

1–8 of 38

Venues

  1. Discrete Analysis

    2 publications · 136 citations

    2

    h-index

  2. The Journal of Finance

    1 publications · 133 citations

    1

    h-index

  3. Archives of Family Medicine

    1 publications · 11 citations

    1

    h-index

  4. CrystEngComm

    1 publications · 20 citations

    1

    h-index

  5. European Review of Agricultural Economics

    ERAE · 1 publications · 64 citations

    1

    h-index

1–5