Keekivalenan Presentasi Grup 〈x,y|y^(-1) xyx,x^(-1) yxy〉 dan 〈x,y|〖x^4,x〗^2 y^(-2),x^(-1) yxy〉 menggunakan Transformasi Tietze

Dedi Mardianto

Abstract


Pada penelitian ini membahas tentang transformasi untuk dua presentasi grup berbeda yang mendefinisikan grup yang sama. Diberikan dua presentasi grup  dan . Ditunjukkan bahwa  dan adalah ekivalen atau isomorpis. Untuk menunjukan ini di gunakan transformasi tietze.


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References


Baik, Y. G. Harlander. 1998. “The Geometry of Group Extension J Group Theory.” In The Geometry of Group Extension J Group Theory, 395–416.

F, Miller III C. 2004. “Combinatorial Group Theory.” In Lecturer Notes.

Johnson, D.L. 1997. Presentation of Group.

Magnus, W Karras A and Solitary ( New York). 1976. “Combinatorial Group Theory : Presentation of Groups in Terms of Generator and Relation.” Dover Publication.

Pride, S. J. 1991. “Identities Among Relation of Groups Presentation, In Group Theory from Geometrical View Point-Triese.” World Sciencetific Publishing Co, 687–717.

Yanita dan Ahmad (Universitas Andalas). 2013. “Computing Generator of Second Homotopy Module Using Tietze Transformation Methods.” International of Journal of Contemporary and Mathematical Science 8 (15): 699–704.




DOI: https://doi.org/10.15548/jostech.v1i1.2369

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