An application of Baumslag-Solitar non-Hopfian groups to finitary automorphisms

An application of Baumslag-Solitar non-Hopfian groups to finitary automorphisms
HTML articles powered by AMS MathViewer

Proc. Amer. Math. Soc. 104 (1988), 30-32

DOI: https://doi.org/10.1090/S0002-9939-1988-0931725-1

PDF | Request permission

It is shown that finitary automorphisms, as distinct from those described as special, do not possess good hereditary properties on subgroups.

References

Gilbert Baumslag and Donald Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc. 68 (1962), 199–201. MR 142635, DOI 10.1090/S0002-9904-1962-10745-9

Serre classes of endomorphisms of nilpotent groups and self-maps of nilpotent spaces

Manuel Castellet, Peter Hilton, and Joseph Roitberg, On pseudo-identities. II, Arch. Math. (Basel) 42 (1984), no. 3, 193–199. MR 751495, DOI 10.1007/BF01191175
Joel M. Cohen, A spectral sequence automorphism theorem: Applications to fibre spaces and stable homotopy, Topology 7 (1968), 173–177. MR 227990, DOI 10.1016/0040-9383(68)90025-6
Peter Hilton, On special group-automorphisms and their composition, Canad. J. Math. 36 (1984), no. 4, 591–600. MR 756536, DOI 10.4153/CJM-1984-037-6
Peter Hilton, Special group automorphisms and special self-homotopy equivalences, Aspects of topology, London Math. Soc. Lecture Note Ser., vol. 93, Cambridge Univ. Press, Cambridge, 1985, pp. 281–292. MR 787834
Peter Hilton and Joseph Roitberg, On pseudo-identities. I, Arch. Math. (Basel) 41 (1983), no. 3, 204–214. MR 721051, DOI 10.1007/BF01194830
J. Roitberg, Finitary automorphisms and integral homology, Topological topics, London Math. Soc. Lecture Note Ser., vol. 86, Cambridge Univ. Press, Cambridge, 1983, pp. 164–168. MR 827256, DOI 10.1017/CBO9780511600760.013