Perfect core
id:
perfect-core-286-16605475
title:
Perfect core
text:
In mathematics, in the field of group theory, the perfect core of a group is its largest perfect subgroup. Its existence is guaranteed by the fact that the subgroup generated by a family of perfect subgroups is again a perfect subgroup. The perfect core is also the point where the transfinite derived series stabilizes for any group. A group whose perfect core is trivial is termed a hypoabelian group. Every solvable group is hypoabelian, and so is every free group. More generally, every residuall
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Perfect_core
date created:
date modified:
2023-08-12T23:33:12Z
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