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Symmetric Generation of Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Curtis, Robert T. 作者

Cambridge Univ Pr

譯者

2007-7 出版日期

332 頁數

$ 213.57 價格

HRD

叢書系列

9780521857215 圖書編碼

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發表於2024-11-13

Symmetric Generation of Groups 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Symmetric Generation of Groups 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Symmetric Generation of Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Symmetric Generation of Groups 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Symmetric Generation of Groups 在線電子書圖書描述

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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