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A Note on Associative Polyverbal Operations On Groups

Published online by Cambridge University Press:  20 November 2018

O. N. Macedońska-Nosalska
O. N. Macedońska-Nosalska*
Affiliation:
York University, Downsview, Ontario; Instytut Matematyki Politechniki Śląskiej, Gliwice, Poland
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In his paper [2] O. N. Golovin introduced the notion of a neutral polyverbal operation on groups, of which Moran's verbal operation [6], and Gruenberg's and Šmel'kin's operations [3 ; 7] are special cases. (Bronštein [1] proved, more generally, that every regular operation for which MacLane's postulate (see [2]) holds and which is invariant under addition of trivial factors, is a neutral polyverbal operation.)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 6 , December 1974 , pp. 1450 - 1454
Copyright
Copyright © Canadian Mathematical Society 1974

References

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