Step 1: Read the reaction.
Benzene reacts with methyl chloride using anhydrous $\text{AlCl}_3$. We must name this reaction.
Step 2: Spot the new group.
Methyl chloride brings in a methyl group, which is an alkyl group. So an alkyl group joins the benzene ring.
Step 3: Name the reaction type.
Adding an alkyl group to benzene using a Lewis acid like $\text{AlCl}_3$ is called Friedel Crafts alkylation.
Step 4: Role of AlCl3.
The $\text{AlCl}_3$ pulls the chlorine off, making a positive methyl group. This positive group attacks the benzene ring. That is why it is an electrophilic substitution.
Step 5: Rule out acylation.
Friedel Crafts acylation adds an acyl group like $\text{COCH}_3$, not a plain alkyl group. Here we add a methyl, so it is alkylation, not acylation.
Step 6: Rule out the rest.
The Wurtz and Fittig reactions use sodium metal to join carbon chains, which is a different process. So the answer is Friedel Crafts alkylation.\[ \boxed{\text{Friedel-Crafts alkylation}} \]