The Journal of the Indian Mathematical Society

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Relative Relation Modules of SL(2, p) and PSL(2, p)groups


Affiliations
1 Department of Mathematics, D. A. V. College, Jalandhar, India
2 Faculty of Economics and Admn., King Abdulaziz University, Jeddah, Saudi Arabia
     

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Let E be a free product of finite number of cyclic groups, and S a normal subgroup of E such that E/S ≅ G is finite. For a prime p, S = S/S′Sp = ̅S/p̅S may be regarded as FpG-module. Whenever E is a free group S is called relation module (modulo p) of G; in general S is called relative relation module (modulo p). The aim of this paper is to describe certain relative relation modules of SL(2, p) and PSL(2, p). Here we discuss the cases when S is FpG-faithful.

Keywords

Annihilator, Faithful Module, Principal Module, Indecomposable Module.
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  • Relative Relation Modules of SL(2, p) and PSL(2, p)groups

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Authors

P. K. Sharma
Department of Mathematics, D. A. V. College, Jalandhar, India
M. Yamin
Faculty of Economics and Admn., King Abdulaziz University, Jeddah, Saudi Arabia

Abstract


Let E be a free product of finite number of cyclic groups, and S a normal subgroup of E such that E/S ≅ G is finite. For a prime p, S = S/S′Sp = ̅S/p̅S may be regarded as FpG-module. Whenever E is a free group S is called relation module (modulo p) of G; in general S is called relative relation module (modulo p). The aim of this paper is to describe certain relative relation modules of SL(2, p) and PSL(2, p). Here we discuss the cases when S is FpG-faithful.

Keywords


Annihilator, Faithful Module, Principal Module, Indecomposable Module.