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Title: On linear groups of degree 2 over a finite commutative ring

Let p > 3 be a prime number and F{sub p} be a field of p elements. Let K be a commutative and associative ring obtained by adjoining to F{sub p} an element α such that α satisfies a polynomial over F{sub p} and a polynomial of the least degree whose root is α can be written as a product of distinct polynomials irreducible over F{sub p}. We prove that the special linear group SL{sub 2}(K) is generated by two elementary transvections ( (table) ), ( (table) )
Authors:
;  [1]
  1. Department of Mathematics, Fatih University, 34500, Büyükçekmece, Istanbul (Turkey)
Publication Date:
OSTI Identifier:
22308268
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1611; Journal Issue: 1; Conference: ICAAM 2014: International conference on analysis and applied mathematics, Shymkent (Kazakhstan), 11-13 Sep 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; POLYNOMIALS; SYMMETRY GROUPS