This article is cited in 2 scientific papers (total in 2 papers)
An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup
A. O. Zakharov
Moscow State University, Faculty of Mechanics and Mathematics
We generalize the estimate for the rank of intersection of subgroups in free products of groups, proved earlier by Ivanov and Dicks (which is analogous to the Hanna Neumann inequality in free groups) to the case of free amalgamated products of groups with normal finite amalgamated subgroup. We also prove that the estimate obtained is sharp and cannot be further improved when the amalgamated product contains an involution.
Bibliography: 11 titles.
amalgamated free products, Hanna Neumann inequality.
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Sbornik: Mathematics, 2013, 204:2, 223–236
MSC: Primary 20E06; Secondary 20F06
Received: 06.07.2011 and 22.09.2012
A. O. Zakharov, “An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup”, Mat. Sb., 204:2 (2013), 73–86; Sb. Math., 204:2 (2013), 223–236
Citation in format AMSBIB
\paper An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup
\jour Mat. Sb.
\jour Sb. Math.
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This publication is cited in the following articles:
A. Zakharov, “On the rank of the intersection of free subgroups in virtually free groups”, J. Algebra, 418 (2014), 29–43
K. Lentzos, M. Sykiotis, “On the intersection of tame subgroups in groups acting on trees”, Int. J. Algebr. Comput., 28:3 (2018), 467–481
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