Concepedia

Cyclotomic Extensions

Cyclotomic Extensions is a field extension obtained by adjoining a primitive root of unity to a base field, distinguished from other algebraic extensions by its Galois group's isomorphism to a subgroup of the multiplicative group of integers modulo n.

150

Publications

7.3K

Citations

180

Authors

145

Institutions

Publications per year

2017–2026

12

Parents

Publications

150

Multiple polylogarithms, cyclotomy and modular complexes

A. B. Goncharov · Mathematical Research Letters · 1998 · 720 citations · Full text

, , +8

Full-diversity, high-rate space-time block codes from division algebras

B. A. Sethuraman, B. Sundar Rajan, V. Shashidhar · IEEE Transactions on Information Theory · 2003 · 452 citations

, , +17

ON GALOIS EXTENSIONS OF A MAXIMAL CYCLOTOMIC FIELD

G. V. Belyi · Mathematics of the USSR-Izvestiya · 1980 · 449 citations

, , +10

On Z l -Extensions of Algebraic Number Fields

Kenkichi Iwasawa · Annals of Mathematics · 1973 · 446 citations

, , +11

The cyclotomic trace and algebraic K-theory of spaces

M. B�kstedt, W. C. Hsiang, Ib Madsen · Inventiones mathematicae · 1993 · 412 citations

, , +13

1–5 of 150

Authors

180

  1. TF
    Takashi Fukuda

    National Institute of Advanced Industrial Science and Technology, Japan

    3 publications · 49 citations

    3

    h-index

  2. BS
    B. Sundar Rajan

    Indian Institute of Science Bangalore, India

    3 publications · 474 citations

    3

    h-index

  3. MK
    Masato Kurihara

    Keio University, Japan

    3 publications · 113 citations

    3

    h-index

  4. YK
    Yûji Kida

    Yamagata University, Japan

    3 publications · 133 citations

    3

    h-index

  5. AL
    Antonio Lei

    Université Laval, Canada

    3 publications · 72 citations

    3

    h-index

1–5 of 180

Institutions

145

  1. Tokyo Metropolitan University

    Tokyo, Japan

    5 h-index

    5 publications

    165 citations

  2. Waseda University

    Tokyo, Japan

    4 h-index

    5 publications

    74 citations

  3. Princeton University

    Princeton, United States

    3 h-index

    3 publications

    465 citations

  4. Nihon University

    Tokyo, Japan

    3 h-index

    4 publications

    62 citations

  5. Johannes Kepler University of Linz

    Linz, Austria

    3 h-index

    4 publications

    773 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    4 publications

    117 citations

  7. Yamagata University

    Yamagata, Japan

    3 h-index

    3 publications

    133 citations

  8. University of Exeter

    Exeter, United Kingdom

    3 h-index

    3 publications

    57 citations

1–8 of 145

Venues

  1. Journal of Number Theory

    10 publications · 542 citations

    10

    h-index

  2. Journal of Algebra

    8 publications · 160 citations

    8

    h-index

  3. arXiv (Cornell University)

    Repository · 6 publications · 106 citations

    6

    h-index

  4. American Journal of Mathematics

    5 publications · 158 citations

    5

    h-index

  5. Canadian Journal of Mathematics

    4 publications · 85 citations

    4

    h-index

1–5