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The covering numbers of the sporadic simple groups

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Abstract

The covering numbers (cn) and the extended covering number (ecn) of all the sporadic simple groups and some other large groups are computed, using “economical” methods. An example is found, namelyD 4(3), for which

$$ecn(D_4 (3)) - cn(D_4 (3)) = 2$$

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References

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Authors and Affiliations

  1. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat-Aviv, Israel

    Ilan Zisser

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  1. Ilan Zisser
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Additional information

These results are part of the author's master's research written at the Tel Aviv University under the supervision of Professor M. Herzog.

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Zisser, I. The covering numbers of the sporadic simple groups. Israel J. Math. 67, 217–224 (1989). https://doi.org/10.1007/BF02937296

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  • DOI: https://doi.org/10.1007/BF02937296

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