一个蜜蜂的多图塔

IF 0.5 Q3 MATHEMATICS Annales Mathematiques du Quebec Pub Date : 2021-01-15 DOI:10.1007/s40316-020-00152-4

Daniel Vallières

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引用次数: 5

摘要

我们研究了在多重图的正则阿贝尔塔中生成树数的（ell）adic值是如何变化的。我们证明了对于一个无限族的正则阿贝尔-束塔，生成树数目的\（\ell\）adic估值与数域的\（｛\mathbb｛Z｝｝_｛\ell｝）-扩展中的类数的\（\all\）radic估值类似。

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On abelian \(\ell \)-towers of multigraphs

We study how the \(\ell \)-adic valuation of the number of spanning trees varies in regular abelian \(\ell \)-towers of multigraphs. We show that for an infinite family of regular abelian \(\ell \)-towers of bouquets, the \(\ell \)-adic valuation of the number of spanning trees behaves similarly to the \(\ell \)-adic valuation of the class numbers in \({\mathbb {Z}}_{\ell }\)-extensions of number fields.

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来源期刊

Annales Mathematiques du Quebec MATHEMATICS-

CiteScore

1.10

自引率

0.00%

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期刊介绍： The goal of the Annales mathématiques du Québec (formerly: Annales des sciences mathématiques du Québec) is to be a high level journal publishing articles in all areas of pure mathematics, and sometimes in related fields such as applied mathematics, mathematical physics and computer science. Papers written in French or English may be submitted to one of the editors, and each published paper will appear with a short abstract in both languages. History: The journal was founded in 1977 as „Annales des sciences mathématiques du Québec”, in 2013 it became a Springer journal under the name of “Annales mathématiques du Québec”. From 1977 to 2018, the editors-in-chief have respectively been S. Dubuc, R. Cléroux, G. Labelle, I. Assem, C. Levesque, D. Jakobson, O. Cornea. Les Annales mathématiques du Québec (anciennement, les Annales des sciences mathématiques du Québec) se veulent un journal de haut calibre publiant des travaux dans toutes les sphères des mathématiques pures, et parfois dans des domaines connexes tels les mathématiques appliquées, la physique mathématique et l''informatique. On peut soumettre ses articles en français ou en anglais à l''éditeur de son choix, et les articles acceptés seront publiés avec un résumé court dans les deux langues. Histoire: La revue québécoise “Annales des sciences mathématiques du Québec” était fondée en 1977 et est devenue en 2013 une revue de Springer sous le nom Annales mathématiques du Québec. De 1977 à 2018, les éditeurs en chef ont respectivement été S. Dubuc, R. Cléroux, G. Labelle, I. Assem, C. Levesque, D. Jakobson, O. Cornea.

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