Metanilpotent group
id:
metanilpotent-group-294-17890312
title:
Metanilpotent group
text:
In mathematics, in the field of group theory, a metanilpotent group is a group that is nilpotent by nilpotent. In other words, it has a normal nilpotent subgroup such that the quotient group is also nilpotent. In symbols, G is metanilpotent if there is a normal subgroup N such that both N and G / N are nilpotent. The following are clear: Every metanilpotent group is a solvable group.
Every subgroup and every quotient of a metanilpotent group is metanilpotent.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Metanilpotent_group
date created:
date modified:
2023-08-12T23:50:12Z
main entity:
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image:
fields total:
13
integrity:
13