IJPAM: Volume 116, No. 3 (2017)
GROUP AND CERTAIN SUBGROUPS OF
THE SPECIAL LINEAR GROUP , J. Sukultanasorn, M. Klubmungmee, N. Sirasuntorn
Department of Mathematics
Faculty of Science
114 Sukhumvit 23, Wattana District, Bangkok 10110, THAILAND
be a group of order . An order dimension of is the number of different orders of nonidentity elements of denoted by odim(). Let be a product of prime powers, that is, = where are distinct primes and is the greatest of all the powers, i.e. for all . We say that the group has # if has a proper subgroup that odim()= .
In this paper, we study order dimensions and the property # of the diagonal matrix group and certain subgroups of the special linear group over a finite field.
Published: October 26, 2017
AMS Subject Classification: 20H30
Key Words and Phrases: order dimension, diagonal matrix group, special linear group
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 727 - 737