Results 11 to 20 of about 494 (41)
Class number one criterion for some non-normal totally real cubic fields [PDF]
, 2012 Let ${\{K_m\}_{m\geq 4}}$ be the family of non-normal totally real cubic number fields defined by the irreducible cubic polynomial $f_m(x)=x^3-mx^2-(m+1)x-1$, where $m$ is an integer with $m\geq 4$.
Lee, Jun Ho
core
, 2011 We define a group stucture on the primitive integer points (A,B,C) of the algebraic variety Q_0(B,C)=A^n, where Q_0 is the principal binary quadratic form of fundamental discriminant \Delta and n is a fixed integer greater than 1.
Hambleton, Samuel, Lemmermeyer, Franz
core +1 more source
On the distribution of class groups of number fields
, 2009 We propose a modification of the predictions of the Cohen--Lenstra heuristic for class groups of number fields in the case where roots of unity are present in the base field.
Holtgrave, Jeremy C. +3 more
core +1 more source
A group theoretical version of Hilbert's theorem 90
, 2015 It is shown that for a normal subgroup $N$ of a group $G$, $G/N$ cyclic, the kernel of the map $N^{\mathrm{ab}}\to G^{\mathrm{ab}}$ satisfies the classical Hilbert 90 property (cf. Thm. A). As a consequence, if $G$ is finitely generated, $|G:N|
Quadrelli, Claudio, Weigel, Thomas
core +1 more source
Connecting homomorphisms associated to Tate sequences
, 2011 Tate sequences are an important tool for tackling problems related to the (ill-understood) Galois structure of groups of $S$-units. The relatively recent Tate sequence "for small $S$" of Ritter and Weiss allows one to use the sequence without assuming ...
Buckingham, Paul
core +2 more sources
A Study of Kummer's Proof of Fermat's Last Theorem for Regular Primes [PDF]
, 2013 We study Kummer's approach towards proving the Fermat's last Theorem for regular primes. Some basic algebraic prerequisites are also discussed in this report, and also a brief history of the problem is mentioned.
Saikia, Manjil P.
core
On Gras conjecture for imaginary quadratic fields
, 2011 In this paper we extend methods of Rubin to prove the Gras conjecture for abelian extensions of a given imaginary quadratic field k and prime numbers p which divide the number of roots of unity in k.Comment: accepted for publication in Canadian ...
Hassan Oukhaba +11 more
core +1 more source
Neoadjuvant Targeted Therapy in Non-Small Cell Lung Cancer and Its Impact on Surgical Outcomes. [PDF]
Ann Thorac Surg Short Rep, 2023 Sorin M +13 more
europepmc +1 more source
No Riemann-hurwitz formula for the p-ranks of relative class groups
, 2015 We disprove, by means of numerical examples, the existence of a Riemann-Hurwitz formula for the p-ranks of relative class groups in a p-ramified p-extension K/k of number fields of CM-type containing ?\_p.
Gras, Georges
core +1 more source
Unit groups of some multiquadratic number fields and 2-class groups. [PDF]
Period Math Hung, 2022 Chems-Eddin MM.
europepmc +1 more source