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Some examples of infinite groups in which each element commutes with its endomorphic images

Part of the Lecture Notes in Mathematics book series (LNM,volume 1281)

Keywords

  • Nilpotency Class
  • Infinite Group
  • Element Commute
  • Central Automorphism
  • Finite Exponent

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References

  1. A. Caranti, Finite p-groups of exponent p2 in which each element commutes with its endomorphic images, J. Algebra 97 (1985), 1–13.

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  2. T.A. Fournelle, Automorphisms of nilpotent groups of class two with small rank, J. Austral. Math. Soc. (Ser. A) 39 (1985), 121–131.

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  3. J.J. Malone, More on groups in which each element commutes with its endomorphic images, Proc. Amer. Math. Soc. 65 (1977), 209–214.

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  4. D.J.S. Robinson, A property of the lower central series of a group, Math. Z. 107 (1968), 225–231.

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  5. D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Springer, Berlin (1972).

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  6. D.J.S. Robinson, A Course in the Theory of Groups, Springer, Berlin (1982).

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  7. U. Stammbach, Homology in Group Theory, Lecture Notes in Mathematics 359, Springer, Berlin (1973).

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© 1987 Springer-Verlag

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Caranti, A., Franciosi, S., de Giovanni, F. (1987). Some examples of infinite groups in which each element commutes with its endomorphic images. In: Kegel, O.H., Menegazzo, F., Zacher, G. (eds) Group Theory. Lecture Notes in Mathematics, vol 1281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078685

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  • DOI: https://doi.org/10.1007/BFb0078685

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18399-0

  • Online ISBN: 978-3-540-47948-2

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