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522 results in 20Fxx

Page 27 of 27

  • Automorphisms of permutational wreath products

  • Part of
  • A. Mohammadi Hassanabadi
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics / Volume 26 / Issue 2 / September 1978
    Published online by Cambridge University Press:
    09 April 2009, pp. 198-208
    Print publication:
    September 1978
    • Article
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  • Ore (1942) studied the automorphisms of finite monomial groups and Holmes (1956, pp. 23–93) has given the form of the automorphisms of the restricted monomial groups in the infinite case. The automorphism group of a standard wreath product has been studied by Houghton (1962) and Segal (1973, Chapter 4). Monomial groups and standard wreath products are both special cases of permutational wreath product. Here we investigate the automorphisms of the permutational wreath product and consider to what extent the results holding in the special cases remain true for the general construction. Our results extend those of Bunt (1968).

  • On non-Archimedean lengths in groups

  • Part of
  • David L. Wilkens
  • Journal:
    Mathematika / Volume 23 / Issue 1 / June 1976
    Published online by Cambridge University Press:
    26 February 2010, pp. 57-61
    Print publication:
    June 1976

  • A length function, for a group, associates to an element x a real number |x| subject to certain axioms, including a cancellation axiom which embodies certain cancellation properties for elements of a free group. Integer valued length functions were introduced by Roger Lyndon [1] where, with a more restrictive set of axioms than ours, it is shown that a length function for a group is given by a restriction of the usual length function on some free product.

Page 27 of 27