On the structure of generalized polyhedral semigroups with zero deficiency

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Published: Aug 25, 2010
DOI: https://doi.org/10.5556/j.tkjm.42.2011.621
Keywords:
Polyhedral groups Presentation of algebraic structures (groups semigroups and monoids ).

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Karim Ahmadidelir
Islamic Azad University of Tabriz
H. Doostie
Mathematics Department, Science and Research Branch, Islamic Azad University, Tehran
R. Gholami
Department of Mathematics, Tabriz Branch, Islamic Azad University

Abstract

The polyhedral or triangle groups and some generalizations of them, such as binary polyhedral groups, have been studied by several authors. In this paper, we introduce two classes of semigroups that have the same presentation as these generalizations of polyhedral groups and investigate their structures, such as finiteness, their relationship with the groups presented by the same presentation.

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How to Cite
Ahmadidelir, K., Doostie, H., & Gholami, R. (2010). On the structure of generalized polyhedral semigroups with zero deficiency. Tamkang Journal of Mathematics, 42(2), 135–147. https://doi.org/10.5556/j.tkjm.42.2011.621
Issue
Vol. 42 No. 2 (2011)
Section
Papers
Author Biography

Karim Ahmadidelir, Islamic Azad University of Tabriz

Mathematics Department, Asistant Proffessor.

 

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