William M. Kantor's Books

Black Box Classical Groups

By: William M. Kantor,Ákos Seress

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If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on the geometry of the classical groups rather than on difficult group-theoretic background. This algorithm has applications to matrix group questions and to nearly linear time algorithms for permutation groups. In particular, we upgrade all known nearly linear time Monte Carlo permutation group algorithms to nearly linear Las Vegas algorithms when the input group has no composition factor isomorphic to an exceptional group of Lie type or a 3-dimensional unitary group.

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Page Count

183

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821826190

ISBN 13

9780821826195

Groups and Computation II

Workshop on Groups and Computation, June 7-10, 1995

By: Larry Finkelstein, William M. Kantor

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Groups and Computation II

Workshop on Groups and Computation, June 7-10, 1995

By: Larry Finkelstein, William M. Kantor

The workshop "Groups and Computations" took place at the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers University in June 1995. This and an earlier workshop held in October 1991 was aimed at merging theory and practice within the broad area of computation with groups. The primary goal of the previous workshop was to foster a dialogue between researchers studying the computational complexity of group algorithms and those engaged in the development of practical software. It was expected that this would lead to a deeper understanding of the mathematical issues underlying group computation and that this understanding would lead, in turn, to faster algorithms. Comments and subsequent work indicated that this goal had been achieved beyond expectations. The second workshop was designed to reinforce the progress in these directions. The scientific program consisted of invited lectures and research announcements, as well as informal discussions and software demonstrations. The eight extended talks discussed randomization, permutation groups, matrix groups, software systems, fast Fourier transforms and their applications to signal processing and data analysis, computations with finitely presented groups, and implementation and complexity questions. As in the previous workshop, speakers ranged from established researchers to graduate students.

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Page Count

404

Publisher

American Mathematical Soc.

ISBN 10

0821885774

ISBN 13

9780821885772

Groups of Lie Type and Their Geometries

By: William M. Kantor

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Groups of Lie Type and Their Geometries

By: William M. Kantor

Silk Hope, NC is a buoyant and moving parable in which two good women find, among the hidden, forgotten virtues of the past, a sustenance to carry them into the future.

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Page Count

324

Publisher

Cambridge University Press

Published Date

ISBN 10

052146790X

ISBN 13

9780521467902

Steroids in the Laboratory and Clinical Practice

By: John William Honour

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Steroids in the Laboratory and Clinical Practice

By: John William Honour

Steroids in the Laboratory and Clinical Practice covers both basic chemistry and therapeutic application of steroids in a single source. The comprehensive reference addresses the specificity of steroid determinations to clarify confusion arising from the laboratory results. The book covers important advancements in the field and is a valuable addition in the literature addressing all existing knowledge gaps. This is a must have reference for pathologists, laboratorians, endocrinologists, analytical/clinical chemists and biochemists. - Addresses the normal production of steroids and concentrations found in biological fluids and tissues - Presents the changes in steroid concentrations at life events as reference points for clinical investigations - Reviews the genetic disorders of steroids in relation to specific enzyme changes and clinical presentation

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Page Count

1014

Publisher

Elsevier

Published Date

ISBN 10

0128181257

ISBN 13

9780128181256

Groups and Computation

Workshop on Groups and Computation, October 7-10, 1991

By: Larry Finkelstein,William M. Kantor

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Groups and Computation

Workshop on Groups and Computation, October 7-10, 1991

By: Larry Finkelstein,William M. Kantor

This volume contains papers presented at the Workshop on Groups and Computation, held in October, 1991. The workshop explored interactions among four areas: symbolic algebra and computer algebra, theoretical computer science, group theory, and applications of group computation. The relationships between implementation and complexity form a recurrent theme, though the papers also discuss such topics as parallel algorithms for groups, computation in associative algebras, asymptotic behavior of permutation groups, the study of finite groups using infinite reflection groups, combinatorial searching, computing with representations, and Cayley graphs as models for interconnection networks.

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Page Count

344

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821865994

ISBN 13

9780821865996

Book's by William M. Kantor

Black Box Classical Groups

Black Box Classical Groups

Groups and Computation II

Groups and Computation II

Groups of Lie Type and Their Geometries

Groups of Lie Type and Their Geometries

Steroids in the Laboratory and Clinical Practice

Steroids in the Laboratory and Clinical Practice

Groups and Computation

Groups and Computation

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