Skip to content

Normal Subgroups/Factor Groups

linzedun
in Linear Algebra and Group Theory

Featured Replies

Let H be a normal subgroup of G and let a belong to G. If the element aH has order 3 in the group G/H and H has order 10, what are the possibilities for the order of a?

a^3 is an element of H, an element of H has what possible orders?

  • Author

so the possible orders would be 1, 2, 5, 10?

the possible orders of elements of H are indeed 1,2,5,10, so a^3 has possible orders 1,2,5,10 and hence a has possible order..?

Archived

This topic is now archived and is closed to further replies.

Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Account

Navigation

Search

Search

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.