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rational integer, $\mathbb{Z}$
Type of Math Object: 
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Mathematics Subject Classification

11-00 no label found03-00 no label found


I'd add a note about how (a,b) maps to a-b in the isomorphism.

I would mention why Z is used to denote the integers. It was first used by Germans, since they call the set "Zahlen", which means "numbers".

Actually, the notation Z (along with similar use of Q,R and C) were introduced, or at least popularized, by Bourbaki.

The symmetric group on n symbols is written S(n). I vaguely remember
hearing once that the S does not stand for symmetry but actually
comes from spiegel (mirror in German). Is this right?

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