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Cyclotomic Extensions of Diagram Algebras

Communications in Algebra, 2008
A uniform approach to cyclotomic extensions of diagram algebras is given, focussing on cellular structures. Cyclotomic Temperley–Lieb algebras, cyclotomic Brauer algebras and cyclotomic walled Brauer algebras are discussed as examples.
Junchang Wang, Steffen Koenig
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Cyclotomic units in z p -extensions

Israel Journal of Mathematics, 1991
LetK0 be the maximal real subfield of the field generated by thep-th root of 1 over ℚ, andK∞ be the basic Zp-extension ofK0 for a fixed odd primep. LetKn be itsn-th layer of this tower. For eachn, we denote the Sylowp-subgroup of the ideal class group ofKn byAn, and that ofEnCn byBn, whereEn (resp.Cn) is the group of units (resp. cyclotomic units ofKn.
Jae Moon Kim, Sunghan Bae, In-Sok Lee
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On the maximal unramified pro-2-extension of certain cyclotomic $$\mathbb {Z}_2$$-extensions

Periodica Mathematica Hungarica, 2020
Let \({k}\) be a number field and let \({k}_{\infty}\) be the cyclotomic \({\mathbb{Z}}_2\)-extension of \({k}\). Let \(A({k}_n)\) be the \(2\)-Sylow subgroup of the ideal class group of the \(n\)-layer \({k}_n\) of \({k}_{\infty}/{k}\). Let \({\mathcal{L}}({k}_{\infty})\) denote the maximal unramified pro-extension of \({k}_{\infty}\) and \({\mathcal ...
Azizi, Abdelmalek   +2 more
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