Embedding of $U_ \omega$-groups in $D_ \omega$-groups
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- by Charles Cassidy PDF
- Proc. Amer. Math. Soc. 103 (1988), 15-20 Request permission
Abstract:
The purpose of this paper is to give certain new conditions under which it is possible to show that a group in which the equation ${x^p} = a$ has at most one solution for every $a$, can be embedded in another group in which the equation ${x^p} = a$ has exactly one solution for every $a$. It has been known for a long time that locally nilpotent groups satisfy the above property but some other sufficient conditions have also been found by G. Baumslag in his thesis. Conditions related to Baumslagโs are examined.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 15-20
- MSC: Primary 20E06; Secondary 20E25
- DOI: https://doi.org/10.1090/S0002-9939-1988-0938636-6
- MathSciNet review: 938636