Intersecting free subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup

Details Intersecting free subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup Intersecting free subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup

2011-05-12

arxiv.org/abs/1105.2471v2

Mathematics

Group Theory

11 pages, 5 figures. V2: minor corrections

Scientific paper

We partly generalize the estimate for the rank of intersection of subgroups
in free products of groups, proved earlier by S.V.Ivanov and W.Dicks, to the
case of free amalgamated products of groups with normal finite amalgamated
subgroup. We also prove that the obtained estimate is sharp and cannot be
further improved when the amalgamated product contains an involution.

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