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Volume 7 - November 1967

Contents

Page 4 of 4

Research Article

  • A third-Engel 5-group

  • I. D. Macdonald, B. H. Neumann
  • Published online by Cambridge University Press:
    09 April 2009, pp. 555-569
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  • In this paper a certain group with the third-Engel condition, that is a member of the variety defined by1 will be presented. Reasons for which its properties may be of interest are advanced in the present section.

  • Finite groups with a self-centralizing subgroup of order 4

  • Warren J. Wong
  • Published online by Cambridge University Press:
    09 April 2009, pp. 570-576
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  • The class of finite groups having a subgroup of order 4 which is its own centralizer has been studied by Suzuki [9], Gorenstein and Walter [6], and the present author [11]. The main purpose of this paper is to strengthen Theorem 5 of [11] by using an early result of Zassenhaus [12]. In particular, we find all groups of the class which are core-free, i.e. which have no nontrivial normal subgroup of odd order. As an application, we make a determination of a certain class of primitive permutation groups.

Front matter

  • JAZ volume 7 issue 4 Cover and Front matter

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

  • JAZ volume 7 issue 4 Cover and Back matter

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