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Computational problems in abstract algebra; proceedings.

Author: John Leech; Atlas Computer Laboratory.
Publisher: Oxford, New York, Pergamon Press [1970]
Edition/Format:   Print book : Conference publication : English : [1st ed.]View all editions and formats

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Genre/Form: Conference papers and proceedings
Additional Physical Format: Online version:
Computational problems in abstract algebra.
Oxford, New York, Pergamon Press [1970]
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: John Leech; Atlas Computer Laboratory.
ISBN: 0080129757 9780080129754
OCLC Number: 322649
Notes: Papers based on lectures presented at a conference held at Oxford under the auspices of the Science Research Council, Atlas Computer Laboratory, Aug. 29-Sept. 2, 1967.
Description: x, 402 pages 23 cm
Contents: Investigations of groups on computers / J. Neubüser --
Coset enumeration / J. Leech --
Some examples using coset enumeration / C.M. Campbell --
Defining relations for subgroups of finite index of groups with a finite presentation / N.S. Mendelsohn --
Nielsen transformation / M.J. Dunwoody --
Calculation with the elements of a finite groups given by generators and defining relations / H. Jürgensen --
On a programme for the determination of the automorphism group of a finite group / V. Felsch and J. Neubüser --
A computational method for determining the automorphism group of a finite solvable group / L. Gerhards and E. Altmann --
Combinatorial construction by computer of the set of all subgroups of a finite group by composition of partial sets of its subgroups / W. Lindenberg and L. Gerhards --
A programme for the drawing of lattices / K. Ferber and H. Jürgensen --
The construction of the character table of a finite group from generators and relations / J. McKay --
A programme for the calculation of characters and representations of finite groups / C. Brott and J. Neubüser --
The characters of the Weyl group E / J.S. Frame --
On some applications of group-theoretical programmes to the derivation of the crystal classes of R₄ / R. Bülow and J. Neubüser --
A search for simple groups of order less than one million / M. Hall Jr. --
Computational methods in the study of permutation groups / C.C. Sims --
An algorithm related to the restricted Burnside group of prime exponent / E. Krause and K Weston --
A module-theoretic computation related to the Burnside problem / A.L. Tritter --
Some combinatorial and symbol manipulation programs in group theory / J.J. Cannon --
The computation of irreducible representations of finite groups of order 2[superscript n], n [less than or equal to] 6 / P.G. Ruud and R. Keown --
Some examples of man-machine interaction in the solution of mathematical problems / N.S. Mendelsohn --
Construction and analysis of non-equivalent finite semigroups / R.J. Plemmons --
Some contributions of computation to semigroups and groupoids / T. Tamura --
Simple word problems in universal algebras / D.E. Knuth and P.B. Bendix --
The application of computers to research in non-associative algebras / L.J. Paige --
Identities in Jordan algebras / C.M. Glennie --
On a property D neofields and some problems concerning orthogonal latin squares / A.D. Keedwell --
A projective configuration / J.W.P. Hirschfeld --
The uses of computers in Galois theory / W.D. Maurer --
An enumeration of knots and links, and some of their algebraic properties / J.H. Conway --
Computations in knot theory / H.F. Trotter --
Computer experiments on sequences which form integral bases / S. Lin --
Application of computer to algebraic topology on some bicomplex manifolds / H. Cohn --
A real root calculus / H. Zassenhaus --
Some computational problems and methods related to invariant factors and control theory / R.E. Kalman.
Responsibility: Edited by John Leech. With a foreword by J. Howlett.


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