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Topic: Group Property
Replies: 4   Last Post: Aug 26, 2014 11:50 AM

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Peter Percival

Posts: 2,623
Registered: 10/25/10
Re: Group Property
Posted: Aug 26, 2014 5:32 AM
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William Elliot wrote:
> phi is a group invariant when phi is preserved by isomorphism,
> for all G,H, (phi(G), G isomorphic H implies phi(H).
> phi is a group property when it's defined only by
> set theory

What in mathematics isn't definable in set theory? (Like before, really.)

> and a binary group operator.
> Are group invariants and group properties the same?

[Dancing is] a perpendicular expression of a horizontal desire.
G.B. Shaw quoted in /New Statesman/, 23 March 1962

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