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restricted Burnside problem

限制 Burnside 问题

本站译名 抽象代数 义项编号TS-0402

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Lecture Notes on Bayesian Estimation and Classification Mário A T Figueiredo

《Lecture Notes on Bayesian Estimation and Classification》 · 第 427 页 · Section 14.2「Torsion Groups and the Burnside Problems」,小节「The Restricted Burnside Problem」

This is the problem: does there exist an upper bound $f(n,e)$ for the order of a finite $n$-generator group of exponent dividing $e$? A positive answer would mean that finite quotients of $B(n,e)$ have bounded order, so that there is in effect a largest finite quotient; however, $B(n,e)$ itself might conceivably be infinite.

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