Grup Multiplikatif 2U_n
Keywords:
aturan kanselasi, grup multiplikatif, grup siklik, isomorfisma grup
Abstract
Artikel ini membahas bukti grup multiplikatif 2Un menggunakan aturan kanselasi. Lebih jauh, juga dibuktikan bahwa grup tersebut merupakan grup siklik menggunakan hubungan isomorfisma grup dengan grup Un.
[In this article, we prove the multiplicative group 2Un using the cancellation law. Futhermore, we also prove that 2Un is a cyclic group using an isomorphism property.]
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References
J. A. Gallian, Contemporary Abstract Algebra, 9th ed. Boston: Cengage Learning, 2017.
L. Gilbert and J. Gilbert, Elements of Modern Algebra., 8th ed. Stamford: Cengage Learning, 2015.
B. Green, “A Project for Discovery, Extension, and Generalization in Abstract Algebra,” Coll. Math. J., vol. 31, no. 4, pp. 329–332, 2000.
T. W. Judson and R. A. Beezer, Abstract Algebra, Theory and Applications. pretextbook.org, 2019.
Shariar Shariari, Algebra in Action, A Course in Groups, Rings, and Fields. Providence, Rhode Island: American Mathematical Society, 2017.
R. I. Berger, “Hidden Group Structure,” Math. Assoc. Am., vol. 78, no. 1, pp. 45–48, 2005.
L. Gilbert and J. Gilbert, Elements of Modern Algebra., 8th ed. Stamford: Cengage Learning, 2015.
B. Green, “A Project for Discovery, Extension, and Generalization in Abstract Algebra,” Coll. Math. J., vol. 31, no. 4, pp. 329–332, 2000.
T. W. Judson and R. A. Beezer, Abstract Algebra, Theory and Applications. pretextbook.org, 2019.
Shariar Shariari, Algebra in Action, A Course in Groups, Rings, and Fields. Providence, Rhode Island: American Mathematical Society, 2017.
R. I. Berger, “Hidden Group Structure,” Math. Assoc. Am., vol. 78, no. 1, pp. 45–48, 2005.
Published
2019-10-31
Issue
Section
Articles
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