RT Journal Article
T1 The Hanna Neumann conjecture for surface groups
A1 Antolín Pichel, Yago
A1 Jaikin-Zapirain, Andrei
AB The Hanna Neumann conjecture is a statement about the rank of the intersection of two finitely generated subgroups of a free group. The conjecture was posed by Hanna Neumann in 1957. In 2011, a strengthened version of the conjecture was proved independently by Joel Friedman and by Igor Mineyev. In this paper we show that the strengthened Hanna Neumann conjecture holds not only in free groups but also in non-solvable surface groups. In addition, we show that a retract in a free group and in a surface group is inert. This implies the Dicks–Ventura inertia conjecture for free and surface groups.
PB Cambridge University Press
SN 0010-437X
YR 2022
FD 2022-10-12
LK https://hdl.handle.net/20.500.14352/71666
UL https://hdl.handle.net/20.500.14352/71666
LA eng
NO Ministerio de Economía, Industria y Competitividad (MINECO)
NO Centro de Excelencia Severo Ochoa
DS Docta Complutense
RD 7 abr 2025