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Computational Problems in Abstract Algebra
An enumeration of knots and links, and some of their algebraic properties
edited_book
Author(s):
J.H. CONWAY
Publication date
(Print):
1970
Publisher:
Elsevier
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There is no author summary for this book yet. Authors can add summaries to their books on ScienceOpen to make them more accessible to a non-specialist audience.
Related collections
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
Author and book information
Book Chapter
Publication date (Print):
1970
Pages
: 329-358
DOI:
10.1016/B978-0-08-012975-4.50034-5
SO-VID:
427ff1c8-c571-4255-919f-6438ccdcd4da
License:
https://www.elsevier.com/tdm/userlicense/1.0/
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Book chapters
pp. 1
Investigations of groups on computers
pp. 21
Coset enumeration
pp. 37
Some examples using coset enumeration
pp. 43
Defining relations for subgroups of finite index of groups with a finite presentation
pp. 45
Nielsen transformations
pp. 47
Calculation with the elements of a finite group given by generators and defining relations
pp. 59
On a programme for the determination of the automorphism group of a finite group
pp. 61
A computational method for determining the automorphism group of a finite solvable group
pp. 75
Combinatorial construction by computer of the set of all subgroups of a finite group by composition of partial sets of its subgroups
pp. 83
A programme for the drawing of lattices
pp. 89
The construction of the character table of a finite group from generators and relations
pp. 101
A programme for the calculation of characters and representations of finite groups
pp. 111
The characters of the Weyl group E8
pp. 131
On some applications of group-theoretical programmes to the derivation of the crystal classes of R4
pp. 169
Computational methods in the study of permutation groups††This research was supported in part by the National Science Foundation.
pp. 185
An algorithm related to the restricted Burnside group of prime exponent
pp. 189
A module-theoretic computation related to the Burnside problem
pp. 199
Some combinatorial and symbol manipulation programs in group theory
pp. 217
Some examples of man—machine interaction in the solution of mathematical problems
pp. 263
Simple Word Problems in Universal Algebras††The work reported in this paper was supported in part by the U.S. Office of Naval Research.
pp. 329
An enumeration of knots and links, and some of their algebraic properties
pp. 365
Computer experiments on sequences which form integral bases
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