PROVING THE EFFICIENCY OF PRO-2-GROUPS OF FIXED CO-CLASSES

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ARJOMANDFAR A.; DOOSTIE H.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:4 Page(s): 73-80

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Title

PROVING THE EFFICIENCY OF PRO-2-GROUPS OF FIXED CO-CLASSES

Author(s)

ARJOMANDFAR A. | DOOSTIE H. | Issue Writer Certificate

Keywords

PRO-2-GROUPS

MODIFIED TODD-COXETER ALGORITHM

Abstract

Among the six classes of PRO-2-GROUPS of finite and fixed co-classes and trivial Schur Multiplicator which studied by Abdolzadeh and Eick in 2009, there are two classesS5=<a, b ½ [b, a2] =1, a2= [b, a] 2, (b2) [b, a] b2=1>andS6=<a, t, b ½ a2=b2, [b, a]2=1, ta=t-1 [b, a], bt=aba>that have been conjectured to have deficiency zero presentations. In this paper we prove these conjectures. This completes the efficiency of all six classes of PRO-2-GROUPS of fixed co-classes.

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APA: Copy

ARJOMANDFAR, A., & DOOSTIE, H.. (2011). PROVING THE EFFICIENCY OF PRO-2-GROUPS OF FIXED CO-CLASSES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(4), 73-80. SID. https://sid.ir/paper/628068/en

Vancouver: Copy

ARJOMANDFAR A., DOOSTIE H.. PROVING THE EFFICIENCY OF PRO-2-GROUPS OF FIXED CO-CLASSES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(4):73-80. Available from: https://sid.ir/paper/628068/en

IEEE: Copy

A. ARJOMANDFAR, and H. DOOSTIE, “PROVING THE EFFICIENCY OF PRO-2-GROUPS OF FIXED CO-CLASSES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 4, pp. 73–80, 2011, [Online]. Available: https://sid.ir/paper/628068/en

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