RANK DARI GRUP DIHEDRAL TIGA (D3) YANG BERAKSI  ATAS X^((1))

Teuis Siti Nurlaela; Esih Sukaesih

doi:10.15575/kubik.v2i2.1858

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Teuis Siti Nurlaela
UIN Sunan Gunung Djati Bandung
Indonesia

Esih Sukaesih
UIN Sunan Gunung Djati Bandung
Indonesia

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RANK DARI GRUP DIHEDRAL TIGA (D3) YANG BERAKSI ATAS X^((1))

Teuis Siti Nurlaela^(1*), Esih Sukaesih⁽²⁾

(1) UIN Sunan Gunung Djati Bandung, Indonesia
(2) UIN Sunan Gunung Djati Bandung, Indonesia
(*) Corresponding Author

Abstract

Misalkan adalah suatu grup dan adalah bukan himpunan kosong, maka aksi dari atas adalah suatu pemetaan, dengan dan terdapat yang bersifat identitas dan asosiatif. Suatu rank dari grup aksi yaitu banyaknya orbit dari grup tersebut. Pada jurnal ini akan ditunjukkan bahwa rank dari grup dihedral 3 ( ) yang beraksi atas adalah .

Keywords

Grup Dihedral; Aksi; Orbit; Rank

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References

Fraleigh, J.B., A First Course In Abstract Algebra: Fifth Edition. Addison-Wesley Publishing Company, USA, 1994.

Gallian, J.A., Contemporary Abstract Algebra: Seventh Edition. Brooks/Cole, Cengage Learning, USA, 2010.

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Herstein, I.N., Topics In Algebra : Second Edition. Xerox Corporation, Singapura, 1975.

Isaacs, I.M., Algebra A graduate Cours, Brooks/Cole Publishing Company, California, 1994.

Kamuti, I. N, Leonard M.S., On The Action of The Symmetric Group, S_n, n≤7 on Unordered Quadruples, 〖(X〗^((4))). International Journal Algebra., 8(3) : 115 – 120, 2014.

Munir, R., Matematika Diskrit : Edisi Empat. Informatika, Bandung, 2010.

Setiawan, A., Aljabar Abstrak (Teori Grup dan Teori Ring), Diktat Kuliah. Universitas Kristen SatyaWacana, Salatiga, 2011.

Spence, L.E, dkk, Linear Algebra:Fourth Edition. Pearson Education,

Spindler, K., Abstract Algebra With Applications. Marcel Dekker, INC, New York, 1994.

DOI: https://doi.org/10.15575/kubik.v2i2.1858

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RANK DARI GRUP DIHEDRAL TIGA (D3) YANG BERAKSI ATAS X^((1))

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