On hypercentral groups

B. Wehrfritz

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Displaying similar documents to “On hypercentral groups”

The abelianization of hypercyclic groups

B. Wehrfritz (2007)

Open Mathematics

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Let G be a hypercyclic group. The most substantial results of this paper are the following. a) If G/G′ is 2-divisible, then G is 2-divisible. b) If G/G′ is a 2′-group, then G is a 2′-group. c) If G/G′ is divisible by finite-of-odd-order, then G/V is divisible by finite-of-odd-order, where V is the intersection of the lower central series (continued transfinitely) of O 2′ (G).

On inert subgroups of a group

Derek J. S. Robinson (2006)

Rendiconti del Seminario Matematico della Università di Padova

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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.

Splitting in locally compact abelian groups

Peter Loth (1998)

Rendiconti del Seminario Matematico della Università di Padova

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The Frattini subgroups of abelian groups

Vlastimil Dlab (1960)

Czechoslovak Mathematical Journal

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Abelian groups in which every pure subgroup is an isotype subgroup

Jindřich Bečvář (1980)

Rendiconti del Seminario Matematico della Università di Padova

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Amalgams of torsion-free nilpotent groups of class three

Berthold J. Maier (1984)

Rendiconti del Seminario Matematico della Università di Padova

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