Author:
KURDACHENKO LEONID A.,SHUMYATSKY PAVEL
Abstract
AbstractThe Schur Theorem says that if G is a group whose center Z(G) has finite index n, then the order of the derived group G′ is finite and bounded by a number depending only on n. In this paper we show that if G is a finite group such that G/Z(G) has rank r, then the rank of G′ is r-bounded. We also show that a similar result holds for a large class of infinite groups.
Publisher
Cambridge University Press (CUP)
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