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A characterization of the simple groupsPSL (2,p),p>3

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Abstract

LetG be a finite group, containing a self-centralizing subgroup of prime orderp. IfG is non-solvable, contains more than one class of conjugate elements of orderp, and satisfies an additional condition, thenG is isomorphic toPSL (2,p),p>3.

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References

  1. R. Brauer,On permutation groups of prime degree and related classes of groups, Ann. of Math.44 (1943), 55–79.

    Article  MathSciNet  Google Scholar 

  2. W. Feit,On a class of doubly transitive permutation groups. Ill. J. Math.4 (1960), 170–186.

    MATH  MathSciNet  Google Scholar 

  3. W. Feit and J. G. Thompson,Finite groups which contain a self-centralizing subgroup of order 3. Nagoya J. Math.21 (1962), 185–197.

    MATH  MathSciNet  Google Scholar 

  4. M. Herzog,On finite groups which contain a Fröbenius subgroup. To appear in Journal of Algebra.

  5. M. Herzog,A characterization of some projective special linear groups. To appear.

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Authors and Affiliations

  1. University of Illinois, Urbana, Illinois

    Marcel Herzog

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  1. Marcel Herzog
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Herzog, M. A characterization of the simple groupsPSL (2,p),p>3. Israel J. Math. 5, 79–85 (1967). https://doi.org/10.1007/BF02771625

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  • DOI: https://doi.org/10.1007/BF02771625

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