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Note on Automorphisms of a Free Abelian Group

Published online by Cambridge University Press:  20 November 2018

Olga Macedońska-Nosalska
Olga Macedońska-Nosalska*
Affiliation:
Instytut Matematyki, Politechnika Śląska, Zwycistwa 44-100, Gliwice, Poland
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Let F be a free group. Denote by the quotient group by the commutator subgroup which is a free abelian group. The fact that the natural map from Aut(F) into Aut() is an epimorphism, in case when F is finitely generated, was known as a consequence of the theory of Nielsen transformations ([2]) Proposition 4.4 and [3] Corollary 3.5.1).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 1 , 01 March 1980 , pp. 111 - 113
Copyright
Copyright © Canadian Mathematical Society 1980

References

1. Cohen, J. M., Aspherical 2-complexes, Journal of Pure and Applied Algebra, 12 (1978), 101-110.Google Scholar
2. Lyndon, R. C. and Schupp, P. E., Combinatorial Group Theory, Springer-Verlag, Berlin Heidelberg New York, 1977.Google Scholar
3. Magnus, W., Karrass, A. and Solitar, D., Combinatorial group theory, Interscience, New York, 1966.Google Scholar