Talk:Subgroup Generated by Subgroup and Element

Presumably $K$ is known as an "enlargement" of $H$? Can't find a reference. --prime mover 00:25, 17 May 2011 (CDT)


 * Not as far as I know -- I need an explicit construction of $\langle H, a\rangle$ for counting the characters on an abelian group, and didn't know what to call it.


 * Perhaps "union of cosets" or "structure of group generated by subgroup and element" would be better. --Linus44 04:53, 17 May 2011 (CDT)


 * It's tantamount to a join, almost? Except that $a$ is not itself a subgroup so it's not. Nope. No matter. I'll come back to this, perhaps. --prime mover 12:14, 17 May 2011 (CDT)