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 Dec 5 comment Fundamental group of a complete intersection in real projective spaces Why do you write hypersurface? It looks like your two equations are independent, and the locus they describe has codimension 2. Dec 5 awarded Supporter Jul 6 asked Are there Galois covers of curves branched at 1 point? Oct 1 comment Linear algebra of finite abelian groups (To be more explicit, your answer is no longer valid because the set of generators you produce for $H$ is an irredundant set of generators, but not a basis) Oct 1 comment Linear algebra of finite abelian groups (update) yes, {2,3} is both non-redundant and a basis for $\mathbb{Z}/6 \mathbb{Z}$. It is not a basis for $\mathbb{Z}$ since $6 \in (2) \cap (3)$. Oct 1 answered Constructing a basis for finite abelian groups Oct 1 awarded Commentator Oct 1 comment Linear algebra of finite abelian groups I have fixed my question with a different notion of "basis" for a finite abelian group. Sorry it took me so long. This is the question I really meant to ask. Does this make more sense to you? Oct 1 revised Linear algebra of finite abelian groups added 215 characters in body Sep 26 awarded Teacher Sep 26 accepted Splitting exact sequences of finite abelian groups Sep 26 answered Splitting exact sequences of finite abelian groups Sep 21 comment Smallest pure subgroup containing a fixed subgroup I asked the same question on MO before you gave this argument, and it turns out that the answer is negative. Here is the link with a counterexample mathoverflow.net/questions/107768/… Sep 21 revised Smallest pure subgroup containing a fixed subgroup added 1 characters in body Sep 21 awarded Editor Sep 21 revised Smallest pure subgroup containing a fixed subgroup added 139 characters in body Sep 21 comment Smallest pure subgroup containing a fixed subgroup @Jack Schmidt Can you say something more on how you find this $h_1$? Moreover, how do we know that $g_2 \notin \langle h_1 \rangle$ ? Sep 20 comment Smallest pure subgroup containing a fixed subgroup @Hagen von Eitzen, the intersection of pure subgroups is not pure, so the title is a bit misleading. What I mean more precisely with "smallest" is explained in the question. Sep 20 asked Smallest pure subgroup containing a fixed subgroup Sep 19 awarded Scholar