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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

Fundamental groups of quasi graphs of groups

R. M. S. MAHMOOD
Sayfa
137–149
Yayın Tarihi
2022-10-18
DOI
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Furthermore, we find the structures of groups induced by the vertices of a quasi graph of groups.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A graph is called a quasi graph if the possibility of an edge of the graph being equal to its inverse is not excluded.
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Temel Bulgular & Veri:Quasi HNN groups are a new generalizations of HNN groups.
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Sonuç & Katkı:Furthermore, we find the structures of groups induced by the vertices of a quasi graph of groups.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

A graph is called a quasi graph if the possibility of an edge of the graph being equal to its inverse is not excluded. Quasi HNN groups are a new generalizations of HNN groups. In this paper we introduce the concepts of a quasi graph of groups and its fundamental group, and show that the fundamental group of a quasi graph of groups is a quasi HNN group. The embedding theorem for the fundamental group of a quasi graph of groups is formulated and proved. Furthermore, we find the structures of groups induced by the vertices of a quasi graph of groups.

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Bu Makaleye Atıf Yap

MAHMOOD, R. M. S. (2022). Fundamental groups of quasi graphs of groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 137–149. https://ajindex.com/articles/530652

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Kaynakça (6)

  1. Bass, H. Covering theory for graphs of groups, Jour. Pure Appl. Alg. 89, 3–47, 1993
  2. Baumslag, G. Topics in combinatorial group theory (Birkhuser-Verlag, 1993)
  3. Cohen, D.E. Combinatorial Group Theory, a topological approach (London Mathematical Society Lecture Notes 14, Cambridge University Press, Cambridge, 1989)
  4. Khanfar, M. I. and Mahmood, R.M. S. On quasi HNN groups, Kuwait J. Sci. Engeneering 29 (2), 13–24, 2002
  5. Magnus, W., Karrass, A and Solitar, D. Combinatorial group theory, 2nd revised ed. (Dover Publications, New York, 1976)
  6. Serre, J.P. Arbres, Amalgames, SL2 (Ast´erisque 46, Soci´et´e Math´ematique France. Paris, 1977 (French)), English translation: Trees (Springer-Verlag, Berlin, 1980).