The heart of the nilpotent quotient algorithm for computing in finite p-groups is a collection algorithm for collecting semigroup words on the generators of the group into normal form. In applications of the nilpotent quotient algorithm almost all the computing time is spent doing collections, and s
โฆ LIBER โฆ
Collection from the left and other strategies
โ Scribed by C.R. Leedham-Green; L.H. Soicher
- Book ID
- 104345002
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 691 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
โฆ Synopsis
We describe experiments with various collection strategies for the multiplication of elements of a p-group. We conclude that collection from the left is a very good strategy, then analyse the computational complexity of collection from the left, and compare it with that of collection from the right. Collection from the left also appears to be an excellent strategy for the multiplication of elements of a finite soluble group.
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