On the index of algebras of Cartan type in finite characteristic
Izvestiya. Mathematics , Tome 28 (1987) no. 2, pp. 381-399

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For $p\geqslant3$ the author computes the indices of $p$-algebras of Cartan type of the series $W$, $S$, $H$$K$. Bibliography: 11 titles.
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     author = {Ya. S. Krylyuk},
     title = {On the index of algebras of {Cartan} type in finite characteristic},
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Ya. S. Krylyuk. On the index of algebras of Cartan type in finite characteristic. Izvestiya. Mathematics , Tome 28 (1987) no. 2, pp. 381-399. http://geodesic.mathdoc.fr/item/IM2_1987_28_2_a5/