The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

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
     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 252

PDF Views: 0




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

Abstract Views: 252  |  PDF Views: 0

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.