0
$\begingroup$

Are there any interesting subsets of elementary abelian 2-groups studied in the literature? What properties do they have?

1 Answers 1

1

"Interesting"? Such a subjective thing...Anyway: any elementary 2-group can be seen as a vector space over the field $\,\,\mathbb{F}_2:=\mathbb{Z}/2\mathbb{Z}\,\,$ , and its subgroups are precisely this vector space's subspaces, so...well, if you know a little linear algebra and you're interested in it perhaps this will appeal you.

  • 5
    Many of the most popular error-correcting codes are vector spaces over the field of 2 elements, so that might be a good place to start looking for interesting subgroups with well-studied properties.2012-05-29