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This article is cited in 2 scientific papers (total in 3 papers)
On free products of restricted Lie algebras
G. P. Kykin
Abstract:
The results of A. I. Shirshov (RZh.Mat., 1962, № 8, A215) and the author (RZh.Mat., 1972, № 9, A237, 1973, № 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.
Received: 17.12.1973
Citation:
G. P. Kykin, “On free products of restricted Lie algebras”, Mat. Sb. (N.S.), 95(137):1(9) (1974), 53–83; Math. USSR-Sb., 24:1 (1974), 49–78
Linking options:
https://www.mathnet.ru/eng/sm3744https://doi.org/10.1070/SM1974v024n01ABEH001905 https://www.mathnet.ru/eng/sm/v137/i1/p53
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Abstract page: | 329 | Russian version PDF: | 94 | English version PDF: | 19 | References: | 54 |
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