Results 31 to 40 of about 4,688 (128)

Ideal class groups of cyclotomic number fields II [PDF]

, 1995
We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large plus class numbers of cyclotomic fields.
Lemmermeyer, Franz
core  

The cyclotomic BMW algebra associated with the two string type B braid group

, 2010
The cyclotomic Birman-Murakami-Wenzl (or BMW) algebras B_n^k, introduced by R. Haring-Oldenburg, are extensions of the cyclotomic Hecke algebras of Ariki-Koike, in the same way as the BMW algebras are extensions of the Hecke algebras of type A.
Wilcox, Stewart, Yu, Shona
core   +1 more source

Units of irregular cyclotomic fields

Illinois Journal of Mathematics, 1979
Let \(B_n\) denote the \(n\)-th Bernoulli number. For even \(i\) with \(2\le i\le p-3\), \textit{P. Dénes} [Publ. Math. 3, 17--23 (1954; Zbl 0056.03301); ibid. 3, 195--204 (1954; Zbl 0058.26902); ibid. 4, 163--170 (1956; Zbl 0071.26505)] defined \(u_i\) to be the smallest \(j\ge 0\) such that \(B_{ip^j}\not\equiv 0 \pmod{p^{2j +1}}\).
openaire   +4 more sources

Growth problems in diagram categories

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

G-signatures and cyclotomic units

Topology and its Applications, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A note on local formulae for the parity of Selmer ranks

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3112-3132, October 2025.
Abstract In this note, we provide evidence for a certain ‘twisted’ version of the parity conjecture for Jacobians, introduced in prior work of Dokchitser, Green, Konstantinou and the author. To do this, we use arithmetic duality theorems for abelian varieties to study the determinant of certain endomorphisms acting on p∞$p^\infty$‐Selmer groups.
Adam Morgan
wiley   +1 more source

The growth of Tate–Shafarevich groups of p$p$‐supersingular elliptic curves over anticyclotomic Zp${\mathbb {Z}}_p$‐extensions at inert primes

Mathematika, Volume 71, Issue 4, October 2025.
Abstract Let E$E$ be an elliptic curve defined over Q${\mathbb {Q}}$, and let K$K$ be an imaginary quadratic field. Consider an odd prime p$p$ at which E$E$ has good supersingular reduction with ap(E)=0$a_p(E)=0$ and which is inert in K$K$. Under the assumption that the signed Selmer groups are cotorsion modules over the corresponding Iwasawa algebra ...
Erman Işik, Antonio Lei
wiley   +1 more source

About the kernel of the augmentation of finitely generated Z-modules [PDF]

, 2000
Let M be a free finitely generated Z-module with basis B and ΔM the kernel of the homomorphism M→Z which maps B to 1. A basis of ΔM can be easily constructed from the basis B of M. Let further R be a submodule of M such that N = M/R is free.
Conrad, Marc
core  

Wild blocks of type A$A$ Hecke algebras are strictly wild

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2658-2679, September 2025.
Abstract We prove that all wild blocks of type A$A$ Hecke algebras with quantum characteristic e⩾3$e \geqslant 3$ — that is, blocks of weight at least 2 — are strictly wild, with the possible exception of the weight 2 Rouquier block for e=3$e = 3$.
Liron Speyer
wiley   +1 more source

Modular units inside cyclotomic units [PDF]

Bulletin de la Société mathématique de France, 1979
Kubert, Daniel S., Lang, Serge
openaire   +4 more sources