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  Homophonic quotients of free groups. (Quotients homophones des groupes libres.)

Mestre, J.-F., Schoof, R., Washington, L., & Zagier, D. (1993). Homophonic quotients of free groups. (Quotients homophones des groupes libres.). Experimental Mathematics, 2(3), 153-155.

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 Creators:
Mestre, Jean-François, Author
Schoof, René1, Author
Washington, Lawrence1, Author
Zagier, Don2, Author           
Affiliations:
1Max Planck Society, ou_persistent13              
2Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: The authors consider the group on the 26 generators a,b, c,\dots, z, the letters of the Latin alphabet and relations A=B where A, B are words with the same pronunciation in the English language (corr. the French language). The paper is bilingual, the French language for the English case and the English language for the French case. They prove that in either case the group G is trivial. They comment that the German case has been proved recently by Herbert Gangl (the group G is still trivial). On the other hand the analogously defined group for Japanese (written in katakama) is free on 46 generators. The reviewer adds that the group G, defined analogously in Greek, is free on the six generators δ, ζ, θ, ξ, χ, \psi. The authors generalizes their result by considering an extra generator, a space in the English case, or accented letters in the French case and prove that their group is still trivial.

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 Dates: 1993
 Publication Status: Issued
 Pages: -
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 Rev. Type: -
 Identifiers: eDoc: 744923
Other: 111
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Title: Experimental Mathematics
Source Genre: Journal
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Affiliations:
Publ. Info: A K Peters, Wellesley, MA
Pages: - Volume / Issue: 2 (3) Sequence Number: - Start / End Page: 153 - 155 Identifier: ISSN: 1058-6458