- 3 I List All The Isomorphism Types Of Abelian Groups Of Order 180 3 Marks Ii Let G Be A Group Of Order 48 Suppo 1 (63.35 KiB) Viewed 48 times
3. (i) List all the isomorphism types of abelian groups of order 180. [3 marks] (ii) Let G be a group of order 48. Suppo
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
3. (i) List all the isomorphism types of abelian groups of order 180. [3 marks] (ii) Let G be a group of order 48. Suppo
3. (i) List all the isomorphism types of abelian groups of order 180. [3 marks] (ii) Let G be a group of order 48. Suppose that G acts on a set X with exactly two orbits. Suppose that there are x, y EX such that the order of their stabilisers are G = 24 and Gy 16. Why do x and y belong to different orbits of G? How many elements does X have? [3 marks] (iii) Give an example of a group G of order 48 acting with exactly two orbits on a set with 17 elements. [4 marks]
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!