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Finite simple groups with no elements of order six

Lynn Gordon

Bulletin of the Australian Mathematical Society · 1977 · 13 citations · 15 references

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Abstract

The aim of this paper is to completely classify the finite simple groups with no elements of order 6. The proof is by induction and involves an analysis of the structure of the 2-local subgroups of a counterexample of minimum order. A recent result of Glauberman plays an essential role.

References

15

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John H. Walter · Annals of Mathematics · 1969 · 286 citations

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Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups.

J. L. Alperin, Richard Brauer, Daniel Gorenstein · Transactions of the American Mathematical Society · 1970 · 151 citations · Full text

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Finite groups whose 2-subgroups are generated by at most 4 elements

Daniel Gorenstein, Koichiro Harada · Memoirs of the American Mathematical Society · 1974 · 147 citations

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The multiplicators of certain simple groups

J. L. Alperin, Daniel Gorenstein · Proceedings of the American Mathematical Society · 1966 · 78 citations

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