Timeline for Notation: Exponent of a group
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 6, 2011 at 18:18 | comment | added | S. Carnahan♦ | Following Noah's suggestion, you can write $\mathbb{Z}/4\mathbb{Z}$ multiplicatively as $\mu_4(\mathbb{C})$, or formally as $\langle g \mid g^4 = 1\rangle$ | |
| Jan 6, 2011 at 17:43 | answer | added | user9072 | timeline score: 2 | |
| Nov 1, 2010 at 4:42 | comment | added | Noah Snyder | Either you're only ever considering abelian groups, in which case Theo's advice seems quite sensible, or you're mostly considering nonabelian groups but occasionally run across an abelian one. In the latter case my advice is: write the group multipliciatively anyway! That is think of Z/4 as g^x for x in Z/4 and g a formal generator. | |
| Nov 1, 2010 at 2:21 | comment | added | Theo Johnson-Freyd | I would use "annihilator", since an abelian group is, among other things, a $\mathbb Z$-module. | |
| Nov 1, 2010 at 1:29 | comment | added | user6976 | @Ben: The word "period" is standard and is in most algebra books (I gave the example of Lang, only because it is the first book given by google books). Using "exponent" would be weird. | |
| Nov 1, 2010 at 1:14 | comment | added | Ben Webster♦ | I guess this is not accepting your frame of question, but my advice is to still say "exponent" (and perhaps commenting on the terminological infelicity). Doing anything else is complicating things needlessly. | |
| Nov 1, 2010 at 0:34 | answer | added | user6976 | timeline score: 9 | |
| Nov 1, 2010 at 0:26 | history | asked | Oliver | CC BY-SA 2.5 |