Geodesic
Cartan subalgebras of simple nonclassical Lie $p$-algebras
Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 905-924

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In the present article the simple nonclassical Lie $p$-algebras $H_n$ and $K_n$ are shown to have $n+1$ and $2n+1$ conjugacy classes of Cartan subalgebras, respectively. 
@article{IM2_1972_6_5_a0,
     author = {S. P. Demushkin},
     title = {Cartan subalgebras of simple nonclassical {Lie} $p$-algebras},
     journal = {Izvestiya. Mathematics },
     pages = {905--924},
     publisher = {mathdoc},
     volume = {6},
     number = {5},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a0/}
}
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S. P. Demushkin. Cartan subalgebras of simple nonclassical Lie $p$-algebras. Izvestiya. Mathematics , Tome 6 (1972) no. 5, pp. 905-924. http://geodesic.mathdoc.fr/item/IM2_1972_6_5_a0/