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Results in Mathematics

, Volume 18, Issue 3–4, pp 286–297 | Cite as

Near-Rings of Invariants

  • C. J. Maxson
  • L. van Wyk
Article
  • 5 Downloads

abstract

For a group S acting on a group G we let I(S,G) = {ƒ: G → G ƒ σ(x) = ƒ (x), ∈ G, σ ∈ S}, the near-ring of invariants of (S,G). In this paper we investigate the transfer of information between the ideal structure of I(S,G) and the group action (S, G).

Keywords

Group Action Normal Subgroup Constant Function Maximal Element Left Ideal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Fuchs, P., On the structure of ideals in sandwich near-rings, Resultate der Math., (to appear).Google Scholar
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    Meldrum, J.D.P., Near-rings and their links with groups, Research Notes in Math. 134, Pitman Publ. Co., London, 1986.Google Scholar
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    Pilz, G. Near-rings, 2nd Ed., North Holland, Amsterdam, 1983.MATHGoogle Scholar
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    Rotman, J.J., Theory of Groups, 3rd Ed., Wm.C. Brown Pub., Iowa, 1988.Google Scholar
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    Wielandt, H., Permutation Groups through Invariant Relations and Invariant Functions, Lecture Notes, Ohio Sate University, 1969.Google Scholar

Copyright information

© birkhäuser verlag, basel 1990

Authors and Affiliations

  • C. J. Maxson
    • 1
  • L. van Wyk
    • 2
  1. 1.Department of MathematicsTexas A&M UniversityUSA
  2. 2.Department of MathematicsUniversity of StellenboschStellenboschSouth Africa

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