What is the question "If G is group of order 360 what are the possible isomorphism types of the Sylow p-subgroups for p=2,3,5,7?" really asking?

160 Views Asked by At

What is the question "If G is group of order 360 what are the possible isomorphism types of the Sylow p-subgroups for p=2,3,5,7?" really asking?

I am familiar with the Sylow theorems, but not with the term "isomorphism type".

1

There are 1 best solutions below

0
On BEST ANSWER

Isomorphic groups form an equivalence class under the equivalence of isomorphism. These classes are known sometimes as "isomorphism types". The question is asking for what groups the groups are isomorphic to.