Talk:Bockstein homomorphism

Mod 2 Bockstein

Why does the article say "ββ = 0 if p>2?" It is true for p=2.

To see why (works for any p>1), examine the map from the short exact sequence

0 → Z → Z → Z/pZ → 0

where the first map is multiplication by p, to the sequence

0 → Z/pZ → Z/p²Z → Z/pZ → 0. —Preceding unsigned comment added by 71.37.53.15 (talk) 21:43, 1 May 2011 (UTC)

Examples needed

This page should have some examples of Bockstein maps included. Here's some references from stackexchange which are informative:

• https://math.stackexchange.com/questions/3585659/using-the-bockstein-to-show-that-mathbbrp3-mathbbrp1-and-sigma-math
• https://math.stackexchange.com/questions/2113909/bockstein-homomorphism-and-steenrod-square
• https://math.stackexchange.com/questions/2115675/bockstein-homomorphism-for-mathbbz-n-and-steenrod-nth-power
• https://math.stackexchange.com/questions/2023601/calculate-bockstein-homomorphism?rq=1
• https://math.stackexchange.com/questions/2888612/relation-between-the-2n-bockstein-homomorphisms?rq=1