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