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On groups with a permutational property on commutators

Part of the Lecture Notes in Mathematics book series (LNM,volume 1398)

Keywords

  • Normal Subgroup
  • Finite Group
  • Maximal Subgroup
  • Prime Order
  • Metabelian Group

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References

  1. N. Gupta and F. Levin, ‘Some symmetric varieties of groups', Bull. Austral. Math. Soc., 3(1970), 97–105.

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  3. E.B. Kikodze, ‘Some identities in groups', Math. USSR Izvestija, 1(1967), 253–258.

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  4. F.W. Levi, ‘Groups in which the commutator operation satisfies certain algebraic conditions', J. Indian Math. Soc., 6(1942), 87–97.

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  5. I.D. MacDonald, ‘On certain varieties of groups', Math. Zeitschr., 76(1961), 270–282.

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  6. H. Meier-Wunderli, ‘Über die Gruppen mit der identischen Relation (x 1, …, x n)=(x 2, …, x n, x 1) n ≥ 3', Vjschr, naturf. Ges. Zürich, 94(1949), 211–218.

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  7. S.J. Tobin, ‘Groups with exponent 4', Proceedings of Groups — St. Andrews 1981, L.M.S. Lecture Note Series 71, Cambridge University Press, 1982.

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© 1989 Springer-Verlag

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Longobardi, P. (1989). On groups with a permutational property on commutators. In: Kim, A.C., Neumann, B.H. (eds) Groups — Korea 1988. Lecture Notes in Mathematics, vol 1398. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086247

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  • DOI: https://doi.org/10.1007/BFb0086247

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51695-8

  • Online ISBN: 978-3-540-46756-4

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