IJPAM: Volume 106, No. 2 (2016)

ON A CLASS OF GENERAL LINEAR GROUP
WHOSE DETERMINANT IS THE SAME AS THE TRACE

U.E. Edeke$^1$, O.E. Ntekim$^2$, E.I. Enang$^3$
$^{1,2}$Department of Mathematics
University of Calabar
NIGERIA
$^3$Department of Statistics
University of Calabar
NIGERIA


Abstract. General Linear Groups are examples of Topological Groups. In this work, a class of $GL(2, \R)$ whose trace and determinant are equal is constructed. The proposed $GL(2, \R)$ class is further endowed with Euclidean topology and shown to be a topological group. A sequence of the constructed $GL(n, \R)$ and its generalization are also presented.

Received: November 10, 2015

AMS Subject Classification: 22A05, 22A10, 57P02

Key Words and Phrases: topological group, general linear group, Euclidean topology, trace, determinant

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DOI: 10.12732/ijpam.v106i2.19 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 2
Pages: 565 - 570


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