Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2022, , 1 - 11, 31.12.2022

Elis Soylu Yılmaz , Ummahan Ege Arslan , Şahika Kundakçıoğlu

https://doi.org/10.54286/ikjm.1136706

Öz

Kaynakça

  • 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.
  • O’Brien, E. A. (1991) The groups of order 256, Journal of algebra, 143 (1): 219-235.
  • Odabas, A., Soylu Yılmaz, E. (2021) 2-Dimensional Groups with Action : The Category of Crossed Module of Groups with Action, Journal of Algebra and its Applications, Under review.
  • Odabas, A. (2020) An Algorithm for computing isoclinism families of groups, Comptes Rendus De L Academie Bulgare Des Sciences, 73 (1): 3-12.
  • The GAP Group, GAP - Groups, Algorithms, and Programming, (2021) version 4.11.1 (https://www.gap-system.org).
  • Tolue, B., Moghaddasi, G.H., Zolfaghari, P. (2017) On the category of ultra-groups, Hacettepe Journal of Mathematics and Statistics, 46(3) :437 - 447.
  • Tolue, B., Zolfaghari, P. and Moghaddasi,G.H. Free ultra-groups, generators and relations, Algebra and Discrete Mathematics, 28 (2) (2019) 308–316.

THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS

Yıl 2022, , 1 - 11, 31.12.2022

Elis Soylu Yılmaz , Ummahan Ege Arslan , Şahika Kundakçıoğlu

https://doi.org/10.54286/ikjm.1136706

Öz

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.

Anahtar Kelimeler

Ultra-group normal ultra-group GAP programming language

Kaynakça

  • 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.
  • O’Brien, E. A. (1991) The groups of order 256, Journal of algebra, 143 (1): 219-235.
  • Odabas, A., Soylu Yılmaz, E. (2021) 2-Dimensional Groups with Action : The Category of Crossed Module of Groups with Action, Journal of Algebra and its Applications, Under review.
  • Odabas, A. (2020) An Algorithm for computing isoclinism families of groups, Comptes Rendus De L Academie Bulgare Des Sciences, 73 (1): 3-12.
  • The GAP Group, GAP - Groups, Algorithms, and Programming, (2021) version 4.11.1 (https://www.gap-system.org).
  • Tolue, B., Moghaddasi, G.H., Zolfaghari, P. (2017) On the category of ultra-groups, Hacettepe Journal of Mathematics and Statistics, 46(3) :437 - 447.
  • Tolue, B., Zolfaghari, P. and Moghaddasi,G.H. Free ultra-groups, generators and relations, Algebra and Discrete Mathematics, 28 (2) (2019) 308–316.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Elis Soylu Yılmaz

Ummahan Ege Arslan

Şahika Kundakçıoğlu

Yayımlanma Tarihi 31 Aralık 2022
Kabul Tarihi 12 Eylül 2022
Yayımlandığı Sayı Yıl 2022

Kaynak Göster

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 Soylu Yılmaz E, Ege Arslan U, Kundakçıoğlu Ş. THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. ikjm. Aralık 2022;4(2):1-11. doi:10.54286/ikjm.1136706
Chicago Soylu Yılmaz, Elis, Ummahan Ege Arslan, ve Şahika Kundakçıoğlu. “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”. Ikonion Journal of Mathematics 4, sy. 2 (Aralık 2022): 1-11. https://doi.org/10.54286/ikjm.1136706.
EndNote Soylu Yılmaz E, Ege Arslan U, Kundakçıoğlu Ş (01 Aralık 2022) THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. Ikonion Journal of Mathematics 4 2 1–11.
IEEE E. Soylu Yılmaz, U. Ege Arslan, ve Ş. Kundakçıoğlu, “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”, ikjm, c. 4, sy. 2, ss. 1–11, 2022, doi: 10.54286/ikjm.1136706.
ISNAD Soylu Yılmaz, Elis vd. “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”. Ikonion Journal of Mathematics 4/2 (Aralık 2022), 1-11. https://doi.org/10.54286/ikjm.1136706.
JAMA 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 vd. “THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS”. Ikonion Journal of Mathematics, c. 4, sy. 2, 2022, ss. 1-11, doi:10.54286/ikjm.1136706.
Vancouver Soylu Yılmaz E, Ege Arslan U, Kundakçıoğlu Ş. THE THEORY OF ULTRA - GROUPS and GAP APPLICATIONS. ikjm. 2022;4(2):1-11.