1 / 8

Does this table show a binary operation? Yes No

Analyzing a binary operation table to determine if it defines a group, the existence of an identity element and inverses, and if it is abelian. The order of the group is also explored.

mlavallee
Download Presentation

Does this table show a binary operation? Yes No

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Does this table show a binary operation? • Yes • No

  2. Is there an identity element? If so, what is it? • No (b) Yes, p • Yes, q (d) Yes, r • (e) Yes, s (f) Yes, t • (g) Yes, u (h) Yes, v • (i) Yes, w

  3. Does p have an inverse? • If so, what is it? • No (b) Yes, p • Yes, q (d) Yes, r • (e) Yes, s (f) Yes, t • (g) Yes, u (h) Yes, v • (i) Yes, w

  4. Does q have an inverse? • If so, what is it? • No (b) Yes, p • Yes, q (d) Yes, r • (e) Yes, s (f) Yes, t • (g) Yes, u (h) Yes, v • (i) Yes, w

  5. Does every element have an inverse? • Yes • No

  6. Does this table define a group? • Yes • No • I don’t know and if you think I am going to check associative you are out of your freaking mind.

  7. What is the order of this group? • 1 (b) 6 • 8 (d) 50 • (e) 64 (f) Primary

  8. Is this group abelian? • Yes • No

More Related