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Diagonal resolutions for metacyclic groups

Johnson, FEA; Remez, JJ; (2017) Diagonal resolutions for metacyclic groups. Journal of Algebra , 474 329 -360. 10.1016/j.jalgebra.2016.10.044. Green open access

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We show the finite metacyclic groups G(p, q) admit a class of projective resolutions which are periodic of period 2q and which in addition possess the properties that a) the differentials are 2×2 diagonal matrices; b) the Swan-Wall finiteness obstruction (cf [21], [22]) vanishes. We obtain thereby a purely algebraic proof of Petrie’s Theorem ([16]) that G(p, q) has free period 2q.

Type: Article
Title: Diagonal resolutions for metacyclic groups
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jalgebra.2016.10.044
Publisher version: http://doi.org/10.1016/j.jalgebra.2016.10.044
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: Diagonal resolution; metacyclic group
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: http://discovery.ucl.ac.uk/id/eprint/1529884
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