EXPLICIT KUMMER GENERATORS FOR CYCLOTOMIC EXTENSIONS

JP Journal of Algebra Number Theory and Applications ◽

10.17654/0972555522004 ◽

2022 ◽

Vol 53 (1) ◽

pp. 69-84

Author(s):

Fritz Hörmann ◽

Antonella Perucca ◽

Pietro Sgobba ◽

Sebastiano Tronto

Keyword(s):

Cyclotomic Extensions

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Cyclotomic extensions of number fields

Indagationes Mathematicae ◽

10.1016/s0019-3577(03)90003-6 ◽

2003 ◽

Vol 14 (2) ◽

pp. 183-196 ◽

Author(s):

Henri Cohen ◽

Francisco Diaz y Diaz ◽

Michel Olivier

Keyword(s):

Number Fields ◽

Cyclotomic Extensions

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On the class groups of cyclotomic extensions in presence of a solution to Catalan's equation

Journal of Number Theory ◽

10.1016/j.jnt.2005.08.011 ◽

2006 ◽

Vol 118 (1) ◽

pp. 123-144 ◽

Author(s):

Preda Mihăilescu

Keyword(s):

Class Groups ◽

Cyclotomic Extensions

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A primality test using cyclotomic extensions

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - Lecture Notes in Computer Science ◽

10.1007/3-540-51083-4_68 ◽

1989 ◽

pp. 310-323

Author(s):

Preda Mihailescu

Keyword(s):

Primality Test ◽

Cyclotomic Extensions

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Lower bounds for heights in cyclotomic extensions

Journal of Number Theory ◽

10.1016/j.jnt.2010.01.014 ◽

2010 ◽

Vol 130 (6) ◽

pp. 1408-1424 ◽

Author(s):

M.I.M. Ishak ◽

Michael J. Mossinghoff ◽

Christopher Pinner ◽

Benjamin Wiles

Keyword(s):

Lower Bounds ◽

Cyclotomic Extensions

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On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06641091 ◽

2014 ◽

Vol 66 (4) ◽

pp. 1091-1103

Author(s):

Mamoru ASADA

Keyword(s):

Algebraic Number ◽

Number Fields ◽

Ideal Class ◽

Class Groups ◽

Algebraic Number Fields ◽

Ideal Class Groups ◽

Cyclotomic Extensions ◽

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Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions

Tohoku Mathematical Journal ◽

10.2748/tmj/1512183627 ◽

2017 ◽

Vol 69 (4) ◽

pp. 497-524 ◽

Author(s):

Antonio Lei

Keyword(s):

Cyclotomic Extensions ◽

Tamagawa Numbers ◽

Crystalline Representation

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Galois groups of some iterated polynomials over cyclotomic extensions

Archiv der Mathematik ◽

10.1007/s00013-017-1120-6 ◽

2017 ◽

Vol 110 (2) ◽

pp. 109-113

Author(s):

Wade Hindes

Keyword(s):

Galois Groups ◽

Cyclotomic Extensions

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Cohomology of Metacyclic Groups and Class Numbers of Subfields of Cyclotomic Extensions

Journal of Algebra ◽

10.1006/jabr.1994.1053 ◽

1994 ◽

Vol 164 (1) ◽

pp. 53-84

Author(s):

C.B. Thomas

Keyword(s):

Class Numbers ◽

Metacyclic Groups ◽

Cyclotomic Extensions

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On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions

Proceedings of the American Mathematical Society Series B ◽

10.1090/bproc/43 ◽

2020 ◽

Vol 7 (1) ◽

pp. 1-16 ◽

Author(s):

Antonio Lei ◽

Gautier Ponsinet

Keyword(s):

Abelian Varieties ◽

Cyclotomic Extensions

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Radical and cyclotomic extensions of the rational numbers

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-07-08864-8 ◽

2007 ◽

Vol 135 (11) ◽

pp. 3435-3442

Author(s):

David Gluck ◽

I. M. Isaacs

Keyword(s):

Rational Numbers ◽

Cyclotomic Extensions

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