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Finitely valued commutator sequences

Published online by Cambridge University Press:  09 April 2009

Reinhold Baer
Reinhold Baer
Affiliation:
8053 Zürich, Eierbrechtstr. 29, Switzerland
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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].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 17 , Issue 1 , February 1974 , pp. 35 - 80
Copyright
Copyright © Australian Mathematical Society 1974

References

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