Hello I looked at the instruction for homework 2 and found some things that looked a bit wrong and some stuff that confused me.
Problem 4.1 is to show that any group of order 14077 = 7·11 is cyclic.
Problem 4.2, 4.3 is to show that there is no simple SUBGROUP of order 2010 ( for 4.3 its 36). What is the order of the whole group? Or does that not really matter here? Are we just supposed to consider these subgroups as whole groups themselves?
I also have another question about referring to course material. Are we allowed to refer to our own previous homework solutions and previous homework in general? Just for simple and straightforward things like proving a certain set is equal to the center or some group.