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Finitely valued commutator sequences

Baer, Reinhold

In: Journal of the Australian Mathematical Society, 1974, vol. 17, no. 1, p. 35-80

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    Title
    • Finitely valued commutator sequences
    Author
    • Baer, Reinhold. 8053 Zürich, Eierbrechtstr. 29, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Journal of the Australian Mathematical Society, 1974, vol. 17, no. 1, p. 35-80. Cambridge University Press
    Other Version
    Classification
    • Health
    OAI-PMH Identifier
    • oai:doc.rero.ch:300002
    Summary
    If x and y are elements in the group G, then we denote their commutator by x o y = x-1y-1 = x-1xy; and x o G is the set of all commutators x o g with g G. A G-commutator sequence is a series of elements ci G with c1 + 1 ci O G. Slightly generalizing well known results one proves that the hypercenter of the group G is exacly the set of all elements h G with the property: every G-commutator sequence, containing h, contains 1 [Proposition 1.1]