EN
THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS
Abstract
In this work, we introduce a system computational programming of the ultra-group notions with GAP, Groups, Algorithms and Programming. We have constructed some algorithms about ultra-groups and their substructures with GAP language. Also, we give the GAP algorithm about ultra-group homomorphism. So we have presented a GAP application for ultra-group theory.
Keywords
References
- Alp, M.,Wensley, C.D. (2015) Crossed Modules and cat1-groups in GAP Version 2.43, Manual for the XMod share package for GAP4, http://www.gap-system.org/Packages/xmod.html.
- Besche, H. U., Eick, B. (1999) The groups of order at most 1000 except 512 and 768, Journal of Symbolic Computation, 27 (4): 405-413.
- Eick, B. and Nickel, W. (2000) Polycyclic, A GAP 4.
- Eick,B., Besche, H. U., O’brien, E. A. (2002) A Millennium Project : Constructing Small Groups, International Journal of Algebra and Computation, 12 (05): 623-644.
- Kurosh, A. (1960) The theory of groups, American Mathematical Society.
- Moghaddasi, G.H., Tolue, B., Zolfaghari, P. (2016) On the structure of ultra-groups over a finite group, U.P.B. Sci. Bull. Series A, 78(2): 173-184.
- Moghaddasi, G.H., Zolfaghari, P. (2016) The quotient ultra-groups, Italian journal of pure and applied mathematics, 36: 211-218.
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 31, 2022
Submission Date
June 27, 2022
Acceptance Date
September 12, 2022
Published in Issue
Year 2022 Volume: 4 Number: 2
APA
Soylu Yılmaz, E., Ege Arslan, U., & Kundakçıoğlu, Ş. (2022). THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. Ikonion Journal of Mathematics, 4(2), 1-11. https://doi.org/10.54286/ikjm.1136706
AMA
1.Soylu Yılmaz E, Ege Arslan U, Kundakçıoğlu Ş. THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. ikjm. 2022;4(2):1-11. doi:10.54286/ikjm.1136706
Chicago
Soylu Yılmaz, Elis, Ummahan Ege Arslan, and Şahika Kundakçıoğlu. 2022. “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”. Ikonion Journal of Mathematics 4 (2): 1-11. https://doi.org/10.54286/ikjm.1136706.
EndNote
Soylu Yılmaz E, Ege Arslan U, Kundakçıoğlu Ş (December 1, 2022) THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. Ikonion Journal of Mathematics 4 2 1–11.
IEEE
[1]E. Soylu Yılmaz, U. Ege Arslan, and Ş. Kundakçıoğlu, “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”, ikjm, vol. 4, no. 2, pp. 1–11, Dec. 2022, doi: 10.54286/ikjm.1136706.
ISNAD
Soylu Yılmaz, Elis - Ege Arslan, Ummahan - Kundakçıoğlu, Şahika. “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”. Ikonion Journal of Mathematics 4/2 (December 1, 2022): 1-11. https://doi.org/10.54286/ikjm.1136706.
JAMA
1.Soylu Yılmaz E, Ege Arslan U, Kundakçıoğlu Ş. THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. ikjm. 2022;4:1–11.
MLA
Soylu Yılmaz, Elis, et al. “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”. Ikonion Journal of Mathematics, vol. 4, no. 2, Dec. 2022, pp. 1-11, doi:10.54286/ikjm.1136706.
Vancouver
1.Elis Soylu Yılmaz, Ummahan Ege Arslan, Şahika Kundakçıoğlu. THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. ikjm. 2022 Dec. 1;4(2):1-11. doi:10.54286/ikjm.1136706