EQUIVARIANT COMPRESSION OF CERTAIN DIRECT LIMIT GROUPS AND AMALGAMATED FREE PRODUCTS

CAVE, CHRIS ; DREESEN, DENNIS

Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 739-752

Résumé

We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G i ⊂ G whose direct limit is G. Quantifying a result by Gal, we also study the behaviour of the equivariant compression under amalgamated free products G 1∗H G 2 where H is of finite index in both G 1 and G 2.

Détail

DOI : 10.1017/S0017089516000082

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