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AbstractAbstract
[en] It was proved that the sphere Sn is a parallelizable manifold if and only if n = 1,3 or 7, and that Sn is an H-space if and only if n = 0,1,3 or 7. Because a Lie group must necessarily be a parallelizable manifold and also an H-space, naturally one asks that Sn is a Lie group for n = 0, 1,3 or 7? In this paper we prove that S7 is not a Lie group, and it is not even a topological group. Therefore, Sn is a Lie group (or a topological group) if and only if n = 0,1,3. (author). 11 refs
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Dec 1988; 7 p
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