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Titlebook: Computational Algebra and Number Theory; Wieb Bosma,Alf Poorten Book 1995 Springer Science+Business Media Dordrecht 1995 Category theory.G

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书目名称Computational Algebra and Number Theory
编辑Wieb Bosma,Alf Poorten
视频videohttp://file.papertrans.cn/233/232087/232087.mp4
丛书名称Mathematics and Its Applications
图书封面Titlebook: Computational Algebra and Number Theory;  Wieb Bosma,Alf Poorten Book 1995 Springer Science+Business Media Dordrecht 1995 Category theory.G
描述Computers have stretched the limits of what is possible inmathematics. More: they have given rise to new fields of mathematicalstudy; the analysis of new and traditional algorithms, the creation ofnew paradigms for implementing computational methods, the viewing ofold techniques from a concrete algorithmic vantage point, to name buta few. ..Computational Algebra and Number Theory. lies at the livelyintersection of computer science and mathematics. It highlights thesurprising width and depth of the field through examples drawn fromcurrent activity, ranging from category theory, graph theory andcombinatorics, to more classical computational areas, such as grouptheory and number theory. Many of the papers in the book provide asurvey of their topic, as well as a description of present research.Throughout the variety of mathematical and computational fieldsrepresented, the emphasis is placed on the common principles and themethods employed. .Audience.: Students, experts, and those performing currentresearch in any of the topics mentioned above. .
出版日期Book 1995
关键词Category theory; Group theory; algebra; algorithms; automata; computer; computer science; number theory; com
版次1
doihttps://doi.org/10.1007/978-94-017-1108-1
isbn_softcover978-90-481-4560-7
isbn_ebook978-94-017-1108-1
copyrightSpringer Science+Business Media Dordrecht 1995
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Judith J. Stalnaker,Ernest C. HarrisA finite soluble quotient algorithm which computes power conjugate presentations for finite soluble quotients of finitely presented groups is described. A version of this algorithm has been implemented in C and is available as the ANU Soluble Quotient Program.
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Plywood and Similar Wood Products,We describe an algorithm to compute the automorphism group of a finite .-group. A description of the automorphism group is built up by working down successive terms of the lower exponent-. central series of the group. The algorithm is a significant improvement over existing techniques. An implementation of the algorithm is publicly available.
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Built-Up and Composite Members,This paper describes general approaches and some specific techniques that enable researchers to perform computations in groups too large for general-purpose software and algorithms.
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Metsec Purlin Piercings, Sleeves And CleatsThe work of the second author was supported in part by grants from the Australian Research Council and by a research agreement with Digital Equipment Corporation.
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Calculating Growth Functions for Groups Using Automata,Much of the research for this paper was conducted while I was working on my PhD thesis. I am grateful to my supervisor, Dr. Gary Davis, for first kindling my interest in this area and offering me invaluable encouragement and advice.
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