# Is it okay to ask for an exercise or example?

I just thought of this idea. I am currently studying some advanced abstract algebra and recently I learned about Jordan-Holder factors, central simple algebras and stuff. The concepts are very new and very abstract to me. And I want to find some examples or exercises to help me understand them. Textbook exercise has the problem of being too "typical". So I was wondering if it is okay to ask for an exercise or an example here. Such questions do risk being off-topic because it is hard to tell what exercise the asker is looking for and what answers should be deemed good answers. Any suggestions?

For example, what I had in mind was:

I want to know more about how to compute Jordan-Holder factors. Can you give me an exercise other than $$\mathbb Z/p^n\mathbb Z$$ (which is a typical example/exercise used in textbooks)?

To me this seems a bit off-topic as it may be unclear about exactly what kind of examples I am asking for. What additional infomation would be necessary for this to be acceptable on MSE?

• reference request and terminology tags exist.
– user645636
Commented Dec 24, 2019 at 15:45
• @RoddyMacPhee I don't know. Does this count as a reference? Commented Dec 25, 2019 at 3:04
• Shaum's outlines is available as a set of books at my central library for example.
– user645636
Commented Dec 25, 2019 at 3:07
• One thing you can do, in this instance, which helps you grow mathematically is to choose a group yourself. Maybe it's an interesting example, maybe not. But choosing a group yourself, instead of being given one, helps grow your independence in doing math. You want a group, choose one and compute; don't wait on someone else. Don't be afraid to choose more complicated groups than cyclic groups or abelian groups. Can't think of any groups besides basic cyclic groups? Then this is a learning opportunity in itself. Commented Dec 28, 2019 at 22:59
• I vote to try it using the correct tabs - either you will get voted down or you will get good answers
– Burt
Commented Dec 29, 2019 at 4:53
• To me this seems like a (more on-topic than usual) application of big-list
– Alexander Gruber Mod
Commented Dec 29, 2019 at 17:35
• Note that outside the context of a classroom an exercise is usually called an application. And questions about applications are well-received here :) Commented Jan 2, 2020 at 16:45