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Volume 20 - November 1975

Contents

Page 4 of 4

Research Article

  • Groups with an automorphism cubing many elements

  • Desmond MacHale
  • Published online by Cambridge University Press:
    09 April 2009, pp. 253-256
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  • Let G be a group and αn the mapping which takes every element of G to its nth power, where n is an integer. It is well known that if αn is an automorphism then G is Abelian in the cases n = -1,2, and 3. For any other integer n(≠ 0) there exists a non-Abelian group which admits αn as the identity automorphism. Indeed Miller (1929) has shown that if n ≠ 0, ±1, 2, 3 then there exist non-Abelian groups which admit αn as a non-trivial automorphism.

Back matter

  • JAZ volume 20 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    09 April 2009, pp. b1-b2
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Front matter

  • JAZ volume 20 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    09 April 2009, pp. f1-f2
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Back matter

  • JAZ volume 20 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    09 April 2009, pp. b1-b2
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Page 4 of 4