Golod-Shafarevich theorem

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In mathematics, the Golod-Shafarevich Theorem, named after the two Russian mathematicians Evgeny Golod and Igor Shafarevich, who proved it on 1964 is an important theorem in combinatorial group theory. In its most basic form, it states that if G is a finite p-group with minimal number of generators d and has r relators in a given presentation, then .

[edit] References

1. Johnson, D.L. (1980). Topics in the Theory of Group Presentations (1st ed.). Cambridge University Press. ISBN 0-521-23108-6. See chapter VI.