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.
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页码：2389 / 2414
页数：27
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