Griffin, J. T. (2013) Diagonal complexes and the integral homology of the automorphism group of a free product. Proceedings of the London Mathematical Society, 106(5), pp. 1087-1120. (doi: 10.1112/plms/pds064)
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Abstract
The main goal of this paper is a calculation of the integral (co)homology of the group of symmetric automorphisms of a free product. We proceed by giving a geometric interpretation of symmetric automorphisms via a moduli space of certain diagrams, which we name cactus products. To describe this moduli space a theory of diagonal complexes is introduced. This offers a generalisation of the theory of right-angled Artin groups in that each diagonal complex defines what we call a diagonal right-angled Artin group (DRAAG).
| Item Type: | Articles |
|---|---|
| Keywords: | Cohomology of groups, free products, automorphism groups |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Griffin, Dr James |
| Authors: | Griffin, J. T. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics |
| Journal Name: | Proceedings of the London Mathematical Society |
| Publisher: | London Mathematical Society |
| ISSN: | 0024-6115 |
| ISSN (Online): | 1460-244X |
| Related URLs: |
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