Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups (Encyclopedia of Mathematics and Its Applications): 111 ... and its Applications, Series Number 111) - Image 1

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Cambridge University Press Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups (Encyclopedia of Mathematics and Its Applications): 111 ... and its Applications, Series Number 111)

Name: Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups (Encyclopedia of Mathematics and Its Applications): 111 ... and its Applications, Series Number 111)
Brand: Cambridge University Press
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Algebra

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Some of the most beautiful mathematical objects found in the last forty years are the sporadic simple groups. But gaining familiarity with these groups presents problems for two reasons. Firstly, they were discovered in many different ways, so to understand their constructions in depth one needs to study lots of different techniques. Secondly, since each of them is in a sense recording some exceptional symmetry in spaces of certain dimensions, they are by their nature highly complicated objects with a rich underlying combinatorial structure. Motivated by initial results which showed that the Mathieu groups can be generated by highly symmetrical sets of elements, which themselves have a natural geometric definition, the author develops from scratch the notion of symmetric generation. He exploits this technique by using it to define and construct many of the sporadic simple groups including all the Janko groups and the Higman-Sims group. For researchers and postgraduates.

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Brand: Cambridge University Press
Format: hardcover
ASIN: 052185721X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 05 July 2007
Listed Since: 15 January 2007

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Cambridge University Press Symmetric Generation of Groups: With Applications to Many of the Sporadic Finite Simple Groups (Encyclopedia of Mathematics and Its Applications): 111 ... and its Applications, Series Number 111)

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