EQUIVARIANT COMPRESSION OF CERTAIN DIRECT LIMIT GROUPS AND AMALGAMATED FREE PRODUCTS

作者:Cave Chris*; Dreesen Dennis
来源:Glasgow Mathematical Journal, 2016, 58(3): 739-752.
DOI:10.1017/S0017089516000082

摘要

We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G(i) subset of 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).

  • 出版日期2016-9