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Homophonic
quotients of linguistic free groups: German, Korean, and
Turkish
Herbert Gangl, Gizem Karaali and Woohyung Lee
Vol. 12 (2019), No. 3, 463–474
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Abstract |
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The homophonic quotient groups for French and English (i.e., the quotient of the free group generated by the French/English alphabet determined by relations representing standard pronunciation rules) were explicitly characterized by Mestre et al. (1993). We apply the same methodology to three different language systems: German, Korean, and Turkish. We argue that our results point to some interesting differences between these three languages (or at least their current script systems). |
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Keywords
quotient groups, free groups, homophones
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Mathematical Subject Classification 2010
Primary: 00A69
Secondary: 20F05
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Milestones
Received: 11 September 2017
Revised: 3 August 2018
Accepted: 4 August 2018
Published: 14 December 2018
Communicated by Kenneth S. Berenhaut
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Authors |
| Herbert Gangl | |
| Department of Mathematical
Sciences Durham University Durham United Kingdom |
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| Gizem Karaali | |
| Department of Mathematics Pomona College Claremont, CA United States |
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| Woohyung Lee | |
| Wake Forest University Winston-Salem, NC United States |
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