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In the mathematical subject of group theory, 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 (see ) was proved independently by Joel Friedmanand by Igor Mineyev. In 2017, a third proof of the Strengthened Hanna Neumann conjecture, based on homological arguments inspired by pro-p-group considerations, was published by Andrei Jaikin-Zapirain.

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  • Hanna Neumann conjecture (en)
  • Conjecture de Hanna Neumann (fr)
  • 漢娜·諾伊曼猜想 (zh)
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  • In the mathematical subject of group theory, 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 (see ) was proved independently by Joel Friedmanand by Igor Mineyev. In 2017, a third proof of the Strengthened Hanna Neumann conjecture, based on homological arguments inspired by pro-p-group considerations, was published by Andrei Jaikin-Zapirain. (en)
  • En mathématiques la conjecture de Hanna Neumann est aujourd'hui un théorème de la théorie des groupes, conjecturé par Hanna Neumann en 1957 et récemment démontré par Igor Mineyev dans sa version renforcée formulée par Walter Neumann en 1990. Ce théorème concerne le rang (c'est-à-dire le nombre minimal de générateurs) de l'intersection de deux sous-groupes de type fini d'un groupe libre. (fr)
  • 群論中，漢娜·諾伊曼猜想是關於一個自由群的兩個有限生成子群的交的，1957年由提出。2011年伊戈爾·米涅耶夫（Igor Mineyev）和喬爾·弗里德曼（Joel Friedman）各自證明了這個猜想。 (zh)
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  • In the mathematical subject of group theory, 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 (see ) was proved independently by Joel Friedmanand by Igor Mineyev. In 2017, a third proof of the Strengthened Hanna Neumann conjecture, based on homological arguments inspired by pro-p-group considerations, was published by Andrei Jaikin-Zapirain. (en)
  • En mathématiques la conjecture de Hanna Neumann est aujourd'hui un théorème de la théorie des groupes, conjecturé par Hanna Neumann en 1957 et récemment démontré par Igor Mineyev dans sa version renforcée formulée par Walter Neumann en 1990. Ce théorème concerne le rang (c'est-à-dire le nombre minimal de générateurs) de l'intersection de deux sous-groupes de type fini d'un groupe libre. (fr)
  • 群論中，漢娜·諾伊曼猜想是關於一個自由群的兩個有限生成子群的交的，1957年由提出。2011年伊戈爾·米涅耶夫（Igor Mineyev）和喬爾·弗里德曼（Joel Friedman）各自證明了這個猜想。 (zh)
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