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Groups of order 3m in which every two conjugate operations are permutable

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References

  • For the definition of a metabelian group, seeTransactions of the American Mathematical Society, vol. 3 (1902), p. 831; or de Séguier,Éléments de la théorie des groupes abstraits (1904), p. 87.

  • For the definition of the termclass as used in this article seeTransactions of the American Mathematical Society, loc. cit. vol. 3, (1902), p. 348; or Hilton,An Introduction to the Theory of Groups of Finite Order (1908), p. 167. De Séguier, loc. cit., uses the termspécialité. The class of a group as here defined should not be confused with the class of a permutation group as defined, for example, by Burnside,Theory of Groups of finite Order, p. 382.

  • Transactions of the American Mathematical Society, vol. 7 (1906), p. 61.

  • Burnside, Proceedings of the London Mathematical Society, vol. 35 (1902), p. 31.

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  • Cf. the remark of Burnside, loc. cit.. last sentence of § 1.

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  • In formulating this conclusion Burnside's results, loc. cit., are taken into consideration.

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  1. Cornell University, Ithaca, (U. S. A.)

    W. B. Fite

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  1. W. B. Fite
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Fite, W.B. Groups of order 3m in which every two conjugate operations are permutable. Math. Ann. 67, 498–510 (1909). https://doi.org/10.1007/BF01450093

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