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Title: An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup

Abstract

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.

Authors:
 [1]
  1. M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22156551
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 204; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; GROUP THEORY; NEUMANN SERIES; TOPOLOGY

Citation Formats

Zakharov, Alexander O. An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup. United States: N. p., 2013. Web. doi:10.1070/SM2013V204N02ABEH004298.
Zakharov, Alexander O. An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup. United States. doi:10.1070/SM2013V204N02ABEH004298.
Zakharov, Alexander O. Thu . "An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup". United States. doi:10.1070/SM2013V204N02ABEH004298.
@article{osti_22156551,
title = {An estimate for the rank of the intersection of subgroups in free amalgamated products of two groups with normal finite amalgamated subgroup},
author = {Zakharov, Alexander O},
abstractNote = {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.},
doi = {10.1070/SM2013V204N02ABEH004298},
journal = {Sbornik. Mathematics},
number = 2,
volume = 204,
place = {United States},
year = {Thu Feb 28 00:00:00 EST 2013},
month = {Thu Feb 28 00:00:00 EST 2013}
}
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