Computing 3-dimensional groups: Crossed squares and cat2-groups

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ARVASİ Z., Odabas A., Wensley C. D.

JOURNAL OF SYMBOLIC COMPUTATION, cilt.114, ss.267-281, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 114
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.jsc.2022.04.020
  • Dergi Adı: JOURNAL OF SYMBOLIC COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.267-281
  • Anahtar Kelimeler: Cat(2) -group, Crossed square, GAP, XMod, ALGEBRAIC MODELS, HOMOTOPY, MODULES, SPACES
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The category XSq of crossed squares is equivalent to the category Cat2 of cat(2)-groups. Functions for computing with these structures have been developed in the package XMod written using the GAP computational discrete algebra programming language. This paper contains a table listing the numbers iota(2)(G)& nbsp;of isomorphism classes of cat(2)-groups on groups G of order at most 30 - a total of 1007 cat(2)- groups. Secondly, it contains general formulae for iota(2)(G) in a number of special cases. (C)& nbsp;2022 Elsevier Ltd. All rights reserved.