Fat Minors in Finitely Presented Groups

IF 1 2区数学 Q1 MATHEMATICS

Combinatorica Pub Date : 2025-07-04 DOI:10.1007/s00493-025-00165-z

Joseph Paul MacManus

引用次数: 0

Abstract

We show that a finitely presented group virtually admits a planar Cayley graph if and only if it is asymptotically minor-excluded, partially answering a conjecture of Georgakopoulos and Papasoglu in the affirmative.

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有限呈现组中的肥胖未成年人

我们证明了一个有限呈现群当且仅当它是渐近小排斥的，实际上存在一个平面Cayley图，部分地肯定地回答了Georgakopoulos和Papasoglu的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Combinatorica 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： COMBINATORICA publishes research papers in English in a variety of areas of combinatorics and the theory of computing, with particular emphasis on general techniques and unifying principles. Typical but not exclusive topics covered by COMBINATORICA are - Combinatorial structures (graphs, hypergraphs, matroids, designs, permutation groups). - Combinatorial optimization. - Combinatorial aspects of geometry and number theory. - Algorithms in combinatorics and related fields. - Computational complexity theory. - Randomization and explicit construction in combinatorics and algorithms.