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pro vyhledávání: '"Johnston, Henri"'
Let $K$ be a number field, let $A$ be a finite-dimensional semisimple $K$-algebra, and let $\Lambda$ be an $\mathcal{O}_{K}$-order in $A$. We give practical algorithms that determine whether or not $\Lambda$ has stably free cancellation (SFC). As an
Externí odkaz:
http://arxiv.org/abs/2407.02294
Autor:
Johnston, Henri, Torzewski, Alex
Publikováno v:
Journal of Algebra 657 (2024) 81-108
Let $\mathcal{O}$ be a Dedekind domain whose field of fractions $K$ is a global field. Let $A$ be a finite-dimensional separable $K$-algebra and let $\Lambda$ be an $\mathcal{O}$-order in $A$. Let $n$ be a positive integer and suppose that $X$ is a $
Externí odkaz:
http://arxiv.org/abs/2306.17764
Autor:
Ferri, Fabio, Johnston, Henri
Let $L/K$ be a Galois extension of number fields and let $G=\mathrm{Gal}(L/K)$. We show that under certain hypotheses on $G$, for a fixed prime number $p$, Leopoldt's conjecture at $p$ for certain proper intermediate fields of $L/K$ implies Leopoldt'
Externí odkaz:
http://arxiv.org/abs/2301.05700
Autor:
Johnston, Henri, Torzewski, Alex
Publikováno v:
In Journal of Algebra 1 November 2024 657:81-108
Let $K$ be a number field, let $A$ be a finite-dimensional $K$-algebra, let $\mathrm{J}(A)$ denote the Jacobson radical of $A$, and let $\Lambda$ be an $\mathcal{O}_{K}$-order in $A$. Suppose that each simple component of the semisimple $K$-algebra $
Externí odkaz:
http://arxiv.org/abs/2202.03526
Autor:
Johnston, Henri, Nickel, Andreas
Let $p$ be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for every admissible one-dimensional $p$-adic Lie extension whose Galois group has an abelian Sylow $p$-subgroup. Crucially, th
Externí odkaz:
http://arxiv.org/abs/2010.03186
The main purpose of the paper is to formulate a probabilistic model for Arakelov class groups in families of number fields, offering a correction to the Cohen--Lenstra--Martinet heuristic on ideal class groups. To that end, we show that Chinburg's Om
Externí odkaz:
http://arxiv.org/abs/2005.11533
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Autor:
Hofmann, Tommy, Johnston, Henri
Let K be a number field, let A be a finite dimensional semisimple K-algebra and let Lambda be an O_K-order in A. It was shown in previous work that, under certain hypotheses on A, there exists an algorithm that for a given (left) Lambda-lattice X eit
Externí odkaz:
http://arxiv.org/abs/1806.08631
Autor:
Johnston, Henri, Nickel, Andreas
Let E/F be a finite Galois extension of totally real number fields and let p be a prime. The `p-adic Stark conjecture at s=1' relates the leading terms at s=1 of p-adic Artin L-functions to those of the complex Artin L-functions attached to E/F. We p
Externí odkaz:
http://arxiv.org/abs/1703.06803