arXiv:1309.4636 Abstract | arXiv Analytics

arXiv:1309.4636 [math.GR]Abstract References Reviews Resources

Equivariant compression of certain direct limit groups and amalgamated free products

Published 2013-09-18, updated 2016-02-07Version 3

We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G_i whose direct limit is G. Quantifying a result by S.R. Gal, we also study the behaviour of the equivariant compression under amalgamated free products G1*_H G2 where H is of finite index in both G_1 and G_2.

Categories: math.GR, math.MG

Subjects: 20F65, 22D10

Keywords: amalgamated free products, equivariant compression, direct limit groups, open subgroups, finite index

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