Infinite families of higher torsion in the homotopy groups of Moore spaces

被引：0

作者：

Amelotte, Steven ^{[1
]}

Cohen, Frederick R. ^{[2
]}

Luo, Yuxin ^{[2
]}

机构：

[1] Western Univ, Dept Math, London, ON, Canada

[2] Univ Rochester, Dept Math, Rochester, NY USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2023年 / 23卷 / 05期

基金：

美国国家科学基金会;

关键词：

DOUBLE LOOPS; DECOMPOSITION; PERIODICITY; EXPONENTS;

D O I：

10.2140/agt.2023.23.2389

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a refinement of the stable Snaith splitting of the double loop space of a Moore space and use it to construct infinite periodic families of elements of order pr +1 in the homotopy groups of mod pr Moore spaces. For odd primes p, our splitting implies that the homotopy groups of the mod pr +1 Moore spectrum are summands of the unstable homotopy groups of each mod pr Moore space.

引用

页码：2389 / 2414

页数：27

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