Superperfect group
id:
superperfect-group-277-7879084
title:
Superperfect group
text:
In mathematics, in the realm of group theory, a group is said to be superperfect when its first two homology groups are trivial: H1(G, Z) = H2(G, Z) = 0. This is stronger than a perfect group, which is one whose first homology group vanishes. In more classical terms, a superperfect group is one whose abelianization and Schur multiplier both vanish; abelianization equals the first homology, while the Schur multiplier equals the second homology.
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in mathematical group theory
original url:
https://en.wikipedia.org/wiki/Superperfect_group
date created:
date modified:
2023-07-01T15:32:37Z
main entity:
{"identifier":"Q7644098","url":"https://www.wikidata.org/entity/Q7644098"}
image:
fields total:
13
integrity:
14