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A Basis of Bachmuth Type in the Commutator Subgroup of a Free Group

Published online by Cambridge University Press:  20 November 2018

Witold Tomaszewski
Witold Tomaszewski*
Affiliation:
Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland, email: wtomasz@zeus.polsl.gliwice.pl
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Abstract

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We show here that the commutator subgroup of a free group of finite rank poses a basis of Bachmuth's type.

Keywords

20E0520F1220F05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 2 , 01 June 2003 , pp. 299 - 303
Copyright
Copyright © Canadian Mathematical Society 2003

References

[1] Bachmuth, S., Automorphisms of free metabelian groups. Trans. Amer. Math. Soc. 118 (1965), 93–104.Google Scholar
[2] Cohen, R., Classes of automorphisms of free groups of infinite rank. Trans. Amer.Math. Soc. 177 (1973), 99–120.Google Scholar
[3] Magnus, W., Karrass, A. and Solitar, D., Combinatorial group theory. Interscience Publishers, New York-London-Sydney, 1966.Google Scholar
[4] Robinson, D. J. S., A Course in the Theory of Groups. Springer-Verlag, New York-Heidelberg-Berlin, 1982.Google Scholar