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Primitivity in Free Groups and Free Metabelian Groups

Published online by Cambridge University Press:  20 November 2018

C. K. Gupta ,
N. D. Gupta  and
V. A. Roman'kov
C. K. Gupta
Affiliation:
University of Manitoba Winnipeg, Manitoba R3T2N2
N. D. Gupta
Affiliation:
University of Manitoba Winnipeg, Manitoba R3T2N2
V. A. Roman'kov
Affiliation:
Kompleksny Otdel Pr. Mira 19-a Omsk 644050 USSR
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Abstract

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Let Mn, c denote the free n-generator metabelian nilpotent group of class c. For m ≤ n – 2, every primitive system of m elements of Mn, c can be lifted to a primitive system of m elements of the absolutely free group Fn of rank n. The restriction on m cannot be improved.

Keywords

20F2820F18
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 3 , 01 June 1992 , pp. 516 - 523
Copyright
Copyright © Canadian Mathematical Society 1992

References

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