On the basis of the Hückel rule for aromaticity, decide whether each of the attached compounds is aromatic or not, and state why. Note: If you have the correct answer but the wrong reason, you will get no credit.

I am trying to come up with a structure for a conjugated diene that would give the same product when HBr is added in either a 1,2-addition or in a 1,4-addition.

. Cycloheptatrienone is a stable polar compound, but cyclopentadienone, although polar, is so reactive that it cannot be isolated. Briefly explain.
6. Circle which of the following is more stable. Explain
7. Circle which of the following is more acidic. Explain

(i) Let G = SL2(R). Using conjugation by elementary matrices, show that every matrix A in G except for +-I is conjugate to a matrix having one of the forms
| 0 -1 |
| 1 d |
or
| 0 1 |
|-1 d |.
(ii) Let
A = | x y |
| z w |
be a matrix in G and let t be its trace. Substituting t-x for w, the condi

Cyclooctatetranene is not aromatic. It is tub-shaped and undergoes addition reactions much like alkenes anddienes. When this compound is treated with potassium metal, however, a reaction occurs. The product molecule is flat and has all the properties of an aromatic compound. Explain what has happened.
See attached file f

Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g when restricted to H is the given automorphism f, i.e every automorphism of H obtained as an inner automorphism of G restricted to

How does one predict which regioisomer forms as the major product when more than one product can form? How does the dienophile affect the stereochemistry of the product? How can you predict the regiochemistry and stereochemistry for both cyclics and acyclics? Which dienes are expected to react the fastest? Which dienophiles are

I need some help with answering these questions: (See attached file for full problem description and structural formulas)
1. Predict whether the molecule would be expected to show aromatic character or not. Explain your answer.
2. What is the hybridization of the nitrogen atom in sulfathiazole?
3. Assuming that the sulfur

Consider the group action of on itself via conjugation.
={ }, and
a) Find all the elements of that are fixed by the element r.
b) Let G be a group, and consider the action of G on itself via conjugation. Let g to G. Prove or disprove that the set of all elements of G that are fixed by g is a subgroup of G.
c) Find a