# Journal article

## The Cohen-Macaulay property of separating invariants of finite groups

Abstract:

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...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, pdf, 273.4KB)
Publisher copy:
10.1007/s00031-009-9072-y

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
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:
1531-586X and 1083-4362
Keywords:
Pubs id:
pubs:652548
UUID:
uuid:3b4002ee-b8cf-4d9f-9385-a00bb1cfcdb0
Local pid:
pubs:652548
Deposit date:
2016-10-14