Geodesic
On free products of restricted Lie algebras
Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 49-78 Cet article a éte moissonné depuis la source Math-Net.Ru

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The results of A. I. Shirshov (RZh.Mat., 1962, No 8, A215) and the author (RZh.Mat., 1972, No 9, A237, 1973, No 7, A281) on free products of Lie algebras and on free restricted Lie algebras (i.e. Lie $p$-algebras) are carried over to free products of Lie $p$-algebras. $p$-subalgebras of the free product of Lie $p$-algebras with amalgamated $p$-subalgebra are described in terms of generators and defining relations. It is shown that a $p$-subalgebra $F$ of the free product of Lie $p$-algebras $H_\alpha$ with amalgamated $p$-subalgebra $C$ is free if $F\cap C=0$ and $F\cap H_\alpha$ are free Lie $p$-algebras. Bibliography: 13 titles. 
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G. P. Kykin. On free products of restricted Lie algebras. Sbornik. Mathematics, Tome 24 (1974) no. 1, pp. 49-78. http://geodesic.mathdoc.fr/item/SM_1974_24_1_a3/

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