UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Odd dimensional manifolds with highly connected covers

Johnson, FEA; (2019) Odd dimensional manifolds with highly connected covers. International Journal of Mathematics , 29 (11) , Article 1850082. 10.1142/S0129167X18500829. Green open access

[thumbnail of highly-connected-rev.pdf]
Preview
Text
highly-connected-rev.pdf - Accepted Version

Download (314kB) | Preview

Abstract

We show that for each integer n ≥ 3 any finite group G acts smoothly and freely on a connected sum (Sn × Sn+1)# ··· #(Sn × Sn+1) | {z } r for some r. Moreover, as a module over Z[G], the middle dimensional homotopy group can be specified in advance to belong to the stable syzygy ΩG n+1(Z).

Type: Article
Title: Odd dimensional manifolds with highly connected covers
Open access status: An open access version is available from UCL Discovery
DOI: 10.1142/S0129167X18500829
Publisher version: https://doi.org/10.1142/S0129167X18500829
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Highly connected manifolds, free actions, syzygy modules
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10056977
Downloads since deposit
97Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item