Displaying similar documents to “The abelianization of hypercyclic groups”

On hypercentral groups

B. Wehrfritz (2007)

Open Mathematics

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Let G be a hypercentral group. Our main result here is that if G/G’ is divisible by finite then G itself is divisible by finite. This extends a recent result of Heng, Duan and Chen [2], who prove in a slightly weaker form the special case where G is also a p-group. If G is torsion-free, then G is actually divisible.

The divisible radical of a group

B.A.F. Wehrfritz (2009)

Open Mathematics

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We consider the existence or otherwise of canonical divisible normal subgroups of groups in general. We present more counterexamples than positive results. These counterexamples constitute the substantive part of this paper.