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On the hierarchy of cohomological dimensions of groups |
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| Authors: | Javad Asadollahi Abdolnaser Bahlekeh |
| Affiliation: | a School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran b Department of Mathematics, Shahrekord University, P.O. Box: 115, Shahrekord, Iran c Department of Mathematics, University of Isfahan, P.O. Box: 81746-73441, Isfahan, Iran |
| Abstract: | Using Auslander’s G-dimension, we assign a numerical invariant to any group Γ. It provides a refinement of the cohomological dimension and fits well into the well-known hierarchy of dimensions assigned already to Γ. We study this dimension and show its power in reflecting the properties of the underlying group. We also discuss its connections to relative and Tate cohomology of groups. |
| Keywords: | 13D05 13D45 13H10 13D03 55N35 |
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