Shall we count the endormorphisms of the 2-Prufer group? (additive dyadic rationals mod 1 with the discrete topology). We've got 2 distinct choices for where to map 1/2: 0 or 1/2. Then 2 choices for where to map 1/4. And so on. We get the inverse limit of Z_2 <Z_4<Z_8... The 2-adic integers! - ThreadSky

paulfabel.bsky.social • 13 days ago

Shall we count the endormorphisms of the 2-Prufer group? (additive dyadic rationals mod 1 with the discrete topology).

We've got 2 distinct choices for where to map 1/2: 0 or 1/2. Then 2 choices for where to map 1/4. And so on.

We get the inverse limit of Z_2
The 2-adic integers!

Comments

Posting Rules

Comments

Posting Rules

Reply