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SYMMETRIC GENERATING SET OF THE GROUPS
AND
USING THE WREATH PRODUCT
Basmah H. Shafee (Saudi Arabia)
Received December 17, 2007
Abstract
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In this paper we show how to generate
and
using a copy of the wreath product
and an element of order
in
and another in
for all positive integers
m is an odd integer and all positive integers
Also is shown how to generate
and
symmetrically using n
elements each of order
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Keywords and phrases:
group, group generated by n-cycle, symmetric generating set, wreath product. |
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