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The deficiency and the multiplicator of finite nilpotent groups
Published online by Cambridge University Press: 09 April 2009
Extract
I. Šafarevič [2] proves that for a pro-finite p-group G, the deficiency of G (in the topological sense) equals the negative of d(m(G)). This means that if G is a finite p-group, where d(m(G)) = n, then there exists a group K with deficiency −n, such that G is the maximal p factor of K.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 13 , Issue 1 , February 1972 , pp. 124 - 128
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- Copyright © Australian Mathematical Society 1972
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