## Algebraic & Geometric Topology

### Concordance of $\mathbb{Z}_p\times\mathbb{Z}_p$ actions on $S^4$

Michael McCooey

#### Abstract

We prove that locally linear, orientation-preserving actions of $G=ℤp×ℤp$ on $S4$ are concordant if and only if a $ℤ2$–valued surgery obstruction vanishes, and discuss constructions and examples.

#### Article information

Source
Algebr. Geom. Topol., Volume 7, Number 2 (2007), 785-796.

Dates
Revised: 16 May 2007
Accepted: 17 May 2007
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796706

Digital Object Identifier
doi:10.2140/agt.2007.7.785

Mathematical Reviews number (MathSciNet)
MR2308965

Zentralblatt MATH identifier
1133.57023

Subjects
Primary: 57S25: Groups acting on specific manifolds
Secondary: 57S17: Finite transformation groups

#### Citation

McCooey, Michael. Concordance of $\mathbb{Z}_p\times\mathbb{Z}_p$ actions on $S^4$. Algebr. Geom. Topol. 7 (2007), no. 2, 785--796. doi:10.2140/agt.2007.7.785. https://projecteuclid.org/euclid.agt/1513796706

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