An exotic presentation of Q28

Wajid H Mannan; Tomasz Popiel

doi:10.2140/agt.2021.21.2065

Abstract

We introduce a new family of presentations for the quaternion groups and show that for the quaternion group of order 28, one of these presentations has nonstandard second homotopy group.

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Wajid H Mannan. Tomasz Popiel. "An exotic presentation of $Q_{28}$ ." Algebr. Geom. Topol. 21 (4) 2065 - 2084, 2021. https://doi.org/10.2140/agt.2021.21.2065

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Received: 1 April 2020; Revised: 22 June 2020; Accepted: 18 September 2020; Published: 2021

First available in Project Euclid: 12 October 2021

MathSciNet: MR4302493

zbMATH: 1478.57017

Digital Object Identifier: 10.2140/agt.2021.21.2065

Subjects:

Primary: 57K20 , 57M05

Secondary: 16S34 , 20C05 , 20C10 , 55N25 , 55P15 , 55Q91

Keywords: group presentation , homotopy group , Wall's D(2) problem

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