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pro vyhledávání: '"11F06, 11F55"'
Autor:
Krieg, Aloys, Schaps, Felix
We characterize the maximal discrete subgroups of $SO^+(2,n+2)$, which contain the discriminant kernel of an even lattice, which contains two hyperbolic planes over $\mathbb{Z}$. They coincide with the normalizers in $SO^+(2,n+2)$ and are given by th
Externí odkaz:
http://arxiv.org/abs/2106.00529
Let $\Gamma_n(\mathcal{\scriptstyle{O}}_\mathbb{K})$ denote the Hermitian modular group of degree $n$ over an imaginary-quadratic number field $\mathbb{K}$. In this paper we determine its maximal discrete extension in $SU(n,n;\mathbb{C})$, which coin
Externí odkaz:
http://arxiv.org/abs/1910.12466
Publikováno v:
Documenta mathematica 26, 1871-1888 (2021). doi:10.25537/dm.2021v26.1871-1888
The description involves the $n$-torsion subgroup of the ideal class group of $\mathbb{K}$. This group is defined over a particular number field $\widehat{\mathbb{K}}_n$ and we can describe the ramified primes in it. In the case $n=2$ we give an expl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19c9d7237bfe4f425a176425a0c86ca4