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.

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

The following table contains statements pertaining to Hfr, F+, F', and/or F- strains of bacteria. Indicate in respective boxes if the statements apply to each category by putting Hfr, F+, F', F- beside the statement.
a) Contains genes that regulate conjugation and the transfe

Let V = Q3 and let ' be the linear transformation from V to itself:
'(x, y, z) = (9x + 4y + 5z,−4x − 3z,−6x − 4y − 2z), x, y, z E Q
With respect to the standard basis B find the matrix representing this linear transformation.
Take the basis E = {(2,−1,−2), (1, 0,−1), (3,−2

Which of the following is an INCORRECT description of benzene?
a. The CCC bond angles are all equal to 120 o
b. The 6-membered ring contains alternating double and single carbon-carbon bonds
c. The molecule may be drawn as resonance hybrid of 2 Kekule structures
d. The molecule is planar
Which of the followi

A) Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An
b) Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for all a in A. (Such an element g is called a fixed point free automorphism)
c