Enumeration of left braces with additive group 𝐶₄×𝐶₄×𝐶₄

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED Mathematics of Computation Pub Date : 2022-10-23 DOI:10.1090/mcom/3871

A. Ballester-Bolinches, R. Esteban-Romero, V. P'erez-Calabuig

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引用次数: 0

Abstract

We show that the number of isomorphism classes of left braces of order 64 64 with additive group isomorphic to C 4 × C 4 × C 4 C_4\times C_4\times C_4 is 1 515 429 1\,515\,429 .

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使用加法组枚举左大括号𝐶₄×𝐶₄×𝐶₄

证明了c4 × c4 × c4 C_4\乘C_4\乘C_4的可加群同构的64阶左括号同构类的个数为1 515 429 1\，515\，429。

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来源期刊

Mathematics of Computation 数学-应用数学

CiteScore

3.90

自引率

5.00%

发文量

审稿时长

7.0 months

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in computational mathematics. Areas covered include numerical analysis, computational discrete mathematics, including number theory, algebra and combinatorics, and related fields such as stochastic numerical methods. Articles must be of significant computational interest and contain original and substantial mathematical analysis or development of computational methodology.