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Constructive Matrix and Orderable Groups

✍ Scribed by V. A. Roman'kov; N. G. Khisamiev

Book ID
111570505
Publisher
Springer US
Year
2004
Tongue
English
Weight
150 KB
Volume
43
Category
Article
ISSN
0002-5232

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It is known that the spaces of orders on orderable computable ΓΏelds can represent all 0 1 classes up to Turing degree. We show that the spaces of orders on orderable computable abelian and nilpotent groups cannot represent 0 1 classes in even a weak manner. Next, we consider presentations of ordered

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New techniques, both theoretical and practical, are presented for constructing permutation representations for computing with matrix groups defined over finite fields. The permutation representation is constructed on a conjugacy class of subgroups of prime order. We construct a base for the permutat