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The Subgroups of Direct Products of Surface Groups |
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| Authors: | Martin R Bridson James Howie Charles F Miller III Hamish Short |
| Institution: | (1) Mathematical Institute, 24-29 St. Giles, Oxford, OX1 3LB, U.K.;(2) Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS, U.K.;(3) Department of Mathematics and Statistics, University of Melbourne, Parkville, 3052, Australia;(4) LATP, UMR 6632, Université de Provence, Centre de Mathématiques et d'Informatique, 39 Rue Joliot-Curie, F-13453 Marseille cedex 13, France |
| Abstract: | A subgroup of a product of n surface groups is of type FP n if and only if it contains a subgroup of finite index that is itself a product of (at most n) surface groups. |
| Keywords: | subgroup direct product free groups surface groups homology of groups |
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