On linear groups of degree 2 over a finite commutative ring

Journal Article · Wed Aug 20 00:00:00 EDT 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4893832· OSTI ID:22308268

Bashkirov, Evgenii L.; Eser, Hasan ^[1]

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1. Department of Mathematics, Fatih University, 34500, Büyükçekmece, Istanbul (Turkey)

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) )

• OSTI ID: 22308268
• Journal Information: AIP Conference Proceedings, Vol. 1611, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
POLYNOMIALS
SYMMETRY GROUPS