Journal article
The Cohen-Macaulay property of separating invariants of finite groups
- Abstract:
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In the case of finite groups, a separating algebra is a subalgebra of the ring of invariants which separates the orbits. Although separating algebras are often better behaved than the ring of invariants, we show that many of the criteria which imply the ring of invariants is non-Cohen–Macaulay actually imply that no graded separating algebra is Cohen–Macaulay. For example, we show that, over a field of positive characteristic p, given sufficiently many copies of a faithful modular representat...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 273.4KB)
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- Publisher copy:
- 10.1007/s00031-009-9072-y
Authors
Bibliographic Details
- Publisher:
- SP Birkhäuser Verlag Boston Publisher's website
- Journal:
- Transformation Groups Journal website
- Volume:
- 14
- Issue:
- 4
- Pages:
- 771– 785
- Publication date:
- 2009-11-14
- Acceptance date:
- 2009-08-23
- DOI:
- ISSN:
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1531-586X and 1083-4362
Item Description
- Keywords:
- Pubs id:
-
pubs:652548
- UUID:
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uuid:3b4002ee-b8cf-4d9f-9385-a00bb1cfcdb0
- Local pid:
- pubs:652548
- Deposit date:
- 2016-10-14
Terms of use
- Copyright holder:
- Birkhäuser Boston
- Copyright date:
- 2009
- Notes:
-
This is an
accepted manuscript of a journal article published by Springer in Transformation Groups on 2009-11-14, available online: http://dx.doi.org/10.1007/s00031-009-9072-y
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