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Gorenstein dimension and proper actions
Author(s) -
Bahlekeh Abdolnaser,
Dembegioti Fotini,
Talelli Olympia
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp063
Subject(s) - mathematics , conjecture , dimension (graph theory) , pure mathematics , projective test , class (philosophy) , projective space , space (punctuation) , algebra over a field , discrete mathematics , artificial intelligence , computer science , operating system
We conjecture that a group G admits a finite‐dimensional classifying space for proper actions if and only if the Gorenstein projective dimension of G is finite. We verify the one‐dimensional case of this conjecture. Some evidence are given for the hypothesis that the Gorenstein projective ℤG ‐modules are precisely Benson's class of cofibrant modules.

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