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An independence theorem for automorphisms of torsion-free groups

Published online by Cambridge University Press:  24 October 2008

U. H. M. Webb
U. H. M. Webb
Affiliation:
Queen Mary College, London
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Extract

This paper considers the relationship between the automorphism group of a torsion-free nilpotent group and the automorphism groups of its subgroups and factor groups. If G2 is the derived group of the group G let Aut (G, G2) be the group of automorphisms of G which induce the identity on G/G2, and if B is a subgroup of Aut G let B¯ be the image of B in Aut G/Aut (G, G2). A p–group or torsion-free group G is said to be special if G2 coincides with Z(G), the centre of G, and G/G2 and G2 are both elementary abelian p–groups or free abelian groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 90 , Issue 3 , November 1981 , pp. 403 - 409
Copyright
Copyright © Cambridge Philosophical Society 1981

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References

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