Residual property (mathematics)
id:
residual-property-mathematics-258-7139191
title:
Residual property (mathematics)
text:
In the mathematical field of group theory, a group is residually X if it "can be recovered from groups with property X". Formally, a group G is residually X if for every non-trivial element g there is a homomorphism h from G to a group with property X such that h ≠ e . More categorically, a group is residually X if it embeds into its pro-X completion, that is, the inverse limit of the inverse system consisting of all morphisms ϕ : G → H from G to some group H with property X.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Residual_property_(mathematics)
date created:
date modified:
2017-04-26T16:49:08Z
main entity:
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image:
fields total:
13
integrity:
13