Abstract:
It is proved that a finite simple group with the set of element orders as in a Frobenius group (a double Frobenius group, respectively) is isomorphic to $L_3(3)$ or $U3_(3)$ (to $U_3(3)$ or $S_4(3)$, respectively).
Citation:
M. R. Aleeva, “On Finite Simple Groups with the Set of Element Orders as in a Frobenius Group or a Double Frobenius Group”, Mat. Zametki, 73:3 (2003), 323–339; Math. Notes, 73:3 (2003), 299–313
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\by M.~R.~Aleeva
\paper On Finite Simple Groups with the Set of Element Orders as in a Frobenius Group or a Double Frobenius Group
\jour Mat. Zametki
\yr 2003
\vol 73
\issue 3
\pages 323--339
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\jour Math. Notes
\yr 2003
\vol 73
\issue 3
\pages 299--313
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https://doi.org/10.4213/mzm189
https://www.mathnet.ru/eng/mzm/v73/i3/p323
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