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Some varieties of groups
Published online by Cambridge University Press: 09 April 2009
Extract
For positive integers n, c the class of groups all of whose n-generator subgroups are nilpotent of class (at most) c is a variety, here denoted [n → c]. Hanna Neumann in her book ([15] pp. 93–98) reported on the first stage of the investigation of these varieties. The main result was that [n → c] is nilpotent if and only if c ≦ n ≧ 2 ([15] 34.33 and 34.54).
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 16 , Issue 4 , December 1973 , pp. 481 - 494
- Copyright
- Copyright © Australian Mathematical Society 1973
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