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单词 NielsenSchreierTheorem
释义

Nielsen-Schreier theorem


Every subgroupMathworldPlanetmathPlanetmath (http://planetmath.org/Subgroup) of a free groupMathworldPlanetmath is free.

This theorem is named after Jakob Nielsen, who in 1921 proved that every subgroup of a free group of finite rank (http://planetmath.org/FreeGroup) is free, and Otto Schreier, who proved the full result in 1927.

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更新时间:2025/5/4 8:41:37