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Finite hereditary near-field groups

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Abstract

A group (G,·) is said to be a near-field group ifG is the multiplicative group of a near-field. A near-field groupG is called hereditary if every subgroup ofG is a near-field group. This paper presents a complete characterization of finite hereditary near-field groups.

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References

  1. Feigelstock, S.: Mersenne primes and group theory. Math. Magazine49, 198–199 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  2. Hall, M.: The Theory of Groups. New York: Macmillan Company. 1959.

    MATH  Google Scholar 

  3. Ligh, S.: On distributively generated near-rings. Proc. Edinburgh Math. Soc.16, 239–243 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  4. Ligh, S., andL. Neal: A note on Mersenne numbers. Math. Magazine47, 231–233 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  5. Ligh, S.: On a class of semigroups admitting ring structure. Semigroup Forum13, 37–46 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  6. Pilz, G.: Near-Rings. Amsterdam: North-Holland Publ. Comp. 1977.

    MATH  Google Scholar 

  7. Zassenhaus, H.: Über endliche Fastkörper. Abh. Math. Sem. Univ. Hamburg11, 187–220 (1936).

    Article  MathSciNet  MATH  Google Scholar 

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Ligh, S. Finite hereditary near-field groups. Monatsh Math 86, 7–11 (1978). https://doi.org/10.1007/BF01300053

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  • DOI: https://doi.org/10.1007/BF01300053

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