Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 1

Crossed product of infinite groups and complete rewriting systems

Sayfa
410–422
Yayın Tarihi
2022-11-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Hence, we present normal form structure of elements of crossed product of infinite groups which yield solvability of the word problem.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of this paper is to obtain a presentation for crossed product of some infinite groups and then find its complete rewriting system.
📊
Temel Bulgular & Veri:The aim of this paper is to obtain a presentation for crossed product of some infinite groups and then find its complete rewriting system.
💡
Sonuç & Katkı:Hence, we present normal form structure of elements of crossed product of infinite groups which yield solvability of the word problem.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The aim of this paper is to obtain a presentation for crossed product of some infinite groups and then find its complete rewriting system. Hence, we present normal form structure of elements of crossed product of infinite groups which yield solvability of the word problem.

🔖

Bu Makaleye Atıf Yap

KARPUZ, E. G., ÇETİNALP, E. K. (2022). Crossed product of infinite groups and complete rewriting systems. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 1, 410–422. https://ajindex.com/articles/607410

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Agore AL, Militaru G. Crossed product of groups, applications. Arabian Journal for Science and Engineering 2008; 33: 1-17
  2. Agore AL, Fratila D. Crossed product of cyclic groups. Czechoslovak Mathematical Journal 2010; 60: 889-901
  3. Ateş F. Some new monoid and group constructions under semidirect product. Ars Combinatoria 2009; 91: 203-218
  4. Ateş F, Çevik AS. Knit products of some groups and their applications. Rendiconti del Seminario Matematico della Universita di Padova 2009; 2: 1-12
  5. Book RV, Otto F. String-Rewriting Systems. New York, NY, USA: Springer-Verlag, 1993
  6. Cangül İN, Çevik AS, Şimşek Y. A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions. Boundary Value Problems 2013; 51: 1-17
  7. Çetinalp EK, Karpuz EG, Ateş F, Çevik AS. Two-sided crossed product of groups. Filomat 2016; 30 (4): 1005-1012
  8. Çetinalp EK, Karpuz EG, Iterated crossed product of cyclic groups. Bulletin of the Iranian Mathematical Society 2018; 44 (6): 1493-1508
  9. Emin A, Ateş F, İkikardeş S, Cangül İN. A new monoid construction under crossed product. Journal of Inequalities and Applications 2013; 244
  10. Hölder, O. Bildung zusammengesetzter gruppen. Mathematische Annalen 1895; 46: 321-422 (in German)
  11. Karpuz EG, Çetinalp EK. Growth series of crossed and two-sided crossed products of cyclic groups, Mathematica Slovaca 2018; 68 (3): 1-12
  12. Rudkovskii MA. Twisted product of Lie groups. Siberian Mathematical Journal 1997; 38: 1120-1129
  13. Sims CC. Computation for Finitely Presented Groups. Cambridge University Press, 1994
  14. Taback J. An Introduction to Lamplighter Groups. Bowdoin University, 2011.