Groups of automorphisms of linearly ordered sets: Corrigenda

Publisher: Cambridge University Press

E-ISSN: 1755-1633|16|2|317-318

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.16, Iss.2, 1977-04, pp. : 317-318

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Abstract

Dr Isidore Fleischer has shown by a very simple counterexample [1] that Theorem 9 (p. 30) of my paper [3] is incorrect. The error occurs in the proof of Theorem 8, and is due to my having interpreted certain group constructions as cartesian products, whereas they are in fact wreath products. The correct version of Theorem 8 is obtained by replacing cartesian products with wreath products in the appropriate places in Definition 5. The result, however, is easier to see than to state.