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Results tagged with abelian-groups
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user 9672
For questions about groups whose elements commute.
13
votes
Automorphism group of a finite group
A nice set of generators for the automorphism group of a finite abelian group is described by Garrett Birkhoff in his paper titled "Subgroups of abelian groups", Proc. London Math. Soc., s2-38(1):385- …
- 5,654
9
votes
Subgroups of a finite abelian group
The problem of enumerating subgroups of a finite abelian group is both non-trivial and interesting. It is also worthwhile to study this set as a lattice. As far as I know, the reference "Subgroup latt …
- 5,654
7
votes
Hall polynomial when the subgroup is cyclic?
Let's say you want to compute the Hall polynomial $g^\lambda_{(r),\mu}(p)$.
According to [Dutta and Prasad, Degenerations and orbits in finite abelian groups], the orbits under the automorphism group …