Question

Use Sylow Theorems: Show that every group of order 144 is not simple.

Use Sylow Theorems: Show that every group of order 144 is not simple.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that a group of order 84 cannot be simple.
Show that a group of order 84 cannot be simple.
For any prime number p use Lagrange's theorem to show that every group of order p...
For any prime number p use Lagrange's theorem to show that every group of order p is cyclic (so it is isomorphic to Zp
Show that no group of order 992=2^5 * 31 is simple.
Show that no group of order 992=2^5 * 31 is simple.
if p and q are primes, show that every proper subgroup of a group of order...
if p and q are primes, show that every proper subgroup of a group of order pq is cyclic
When working with proofs and theorems is there a simple way to determine when to use...
When working with proofs and theorems is there a simple way to determine when to use contradiction? I understand HOW contradiction works, but not really WHEN I need to use it. Any tips or pointers would be incredibly helpful.
suppose every element of a group G has order dividing 2. Show that G is an...
suppose every element of a group G has order dividing 2. Show that G is an abelian group. There is another question on this, but I can't understand the writing at all...
Let G be a group (not necessarily an Abelian group) of order 425. Prove that G...
Let G be a group (not necessarily an Abelian group) of order 425. Prove that G must have an element of order 5. Note, Sylow Theorem is above us so we can't use it. We're up to Finite Orders. Thank you.
How many Sylow 3-subgroups and Sylow-5subgroups may there be in a Group of order 675
How many Sylow 3-subgroups and Sylow-5subgroups may there be in a Group of order 675
Let n be a positive integer. Show that every abelian group of order n is cyclic...
Let n be a positive integer. Show that every abelian group of order n is cyclic if and only if n is not divisible by the square of any prime.
If G is a group of order 250,000 = 2 456, show that G is not...
If G is a group of order 250,000 = 2 456, show that G is not simple