曲面基本群的无限表示

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2023-03-01 DOI:10.32917/h2022001

Ryoma Kobayashi

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引用次数: 0

摘要

对于任意有限型连通曲面S，我们给出了S的基群π1(S，*)的无限表示，π1(S，*)基于一个内部点*∈S，其生成点用简单环表示。当S不可定向时，我们也给出了π1(S，*)子群的无限表示，π1(S，*)子群是由正则邻域为环空的简单环所表示的。

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Inﬁnite presentations for fundamental groups of surfaces

For any ﬁnite type connected surface S, we give an inﬁnite presentation of the fundamental group π1(S,*) of S based at an interior point *∈S whose generators are represented by simple loops. When S is non-orientable, we also give an inﬁnite presentation of the subgroup of π1(S,*) generated by elements which are represented by simple loops whose regular neighborhoods are annuli.

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来源期刊

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.