scholarly journals On Dℓ‐extensions of odd prime degree ℓ

2020 ◽  
Vol 121 (5) ◽  
pp. 1171-1206
Author(s):  
Henri Cohen ◽  
Frank Thorne
Keyword(s):  
Prime Degree

scholarly journals A local-global principle for isogenies of prime degree over number fields

2014 ◽  
Vol 89 (3) ◽  
pp. 745-761 ◽  
Author(s):  
Samuele Anni
Keyword(s):  
Number Fields ◽  
Prime Degree ◽  
Global Principle

On correspondence between orders and ideals with a normal basis in cyclic subfields of Q(ξp) of a prime degree l

2010 ◽  
Vol 60 (6) ◽  
Author(s):  
Juraj Kostra
Keyword(s):  
Number Field ◽  
Algebraic Number ◽  
Algebraic Number Field ◽  
Normal Basis ◽  
Prime Degree ◽  
One To One

AbstractLet K be a tamely ramified cyclic algebraic number field of prime degree l. In the paper one-to-one correspondence between all orders of K with a normal basis and all ideals of K with a normal basis is given.

Finite Groups with Nonmonomial Characters of Prime Degree

2003 ◽  
Vol 74 (5/6) ◽  
pp. 671-675 ◽  
Author(s):  
I. A. Sagirov
Keyword(s):  
Finite Groups ◽  
Prime Degree

scholarly journals Motivic decomposition of compactifications of certain group varieties

2018 ◽  
Vol 2018 (745) ◽  
pp. 41-58
Author(s):  
Nikita A. Karpenko ◽  
Alexander S. Merkurjev
Keyword(s):  
Central Simple Algebra ◽  
Simple Algebra ◽  
Chow Ring ◽  
Prime Degree ◽  
Central Simple

Abstract Let D be a central simple algebra of prime degree over a field and let E be an {\operatorname{\mathbf{SL}}_{1}(D)} -torsor. We determine the complete motivic decomposition of certain compactifications of E. We also compute the Chow ring of E.

Power Integral Bases in Composits of Number Fields

1998 ◽  
Vol 41 (2) ◽  
pp. 158-165 ◽  
Author(s):  
István Gaál
Keyword(s):  
Number Fields ◽  
Parametric Family ◽  
Prime Degree ◽  
Index Form ◽  
Form Equation ◽  
Integral Bases ◽  
Quadratic Extensions ◽  
Totally Real

AbstractIn the present paper we consider the problem of finding power integral bases in number fields which are composits of two subfields with coprime discriminants. Especially, we consider imaginary quadratic extensions of totally real cyclic number fields of prime degree. As an example we solve the index form equation completely in a two parametric family of fields of degree 10 of this type.

Lie powers in prime degree

2005 ◽  
Vol 56 (4) ◽  
pp. 473-489 ◽  
Author(s):  
R. M. Bryant ◽  
Ralph Stöhr
Keyword(s):  
Prime Degree

scholarly journals Stickelberger relations and tame extensions of prime degree

1981 ◽  
Vol 25 (2) ◽  
pp. 258-266 ◽  
Author(s):  
L. N. Childs
Keyword(s):  
Prime Degree

scholarly journals FULLY-DIVERSE LATTICES FROM RAMIFIED CYCLIC EXTENSIONS OF PRIME DEGREE

2021 ◽  
Vol 33 (6) ◽  
Author(s):  
J. Carmelo Interlando
Keyword(s):  
Prime Degree

On Cyclic Fields of Odd Prime Degree p with Infinite Hilbert p-Class Field Towers

2002 ◽  
Vol 45 (1) ◽  
pp. 86-88 ◽  
Author(s):  
Frank Gerth
Keyword(s):  
Rational Numbers ◽  
Cyclic Extension ◽  
Prime Degree ◽  
Class Field ◽  
Positive Proportion ◽  
Class Field Towers ◽  
Class Field Tower

AbstractLet k be a cyclic extension of odd prime degree p of the field of rational numbers. If t denotes the number of primes that ramify in k, it is known that the Hilbert p-class field tower of k is infinite if t > 3 + 2 . For each t > 2 + , this paper shows that a positive proportion of such fields k have infinite Hilbert p-class field towers.

scholarly journals Note on the ring of integers of a Kummer extension of prime degree. III

2001 ◽  
Vol 77 (5) ◽  
pp. 71-73 ◽  
Author(s):  
Humio Ichimura
Keyword(s):  
Prime Degree ◽  
Ring Of Integers
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