Johnson, FEA;
Remez, JJ;
(2017)
Diagonal resolutions for metacyclic groups.
Journal of Algebra
, 474
329 -360.
10.1016/j.jalgebra.2016.10.044.
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Abstract
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 |
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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 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/1529884 |
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