I have a PostgreSQL database that stores users in a users table and conversations they take part in a conversation table. Since each user can take part in multiple conversations and each conversation can involve multiple users, I have a conversation_user linking table to track which users are participating in each conversation:
# conversation_user
id  |  conversation_id | user_id
----+------------------+--------
1   |                1 |      32
2   |                1 |       3
3   |                2 |      32
4   |                2 |       3
5   |                2 |       4
In the above table, user 32 is having one conversation with just user 3 and another with both 3 and user 4. How would I write a query that would show that there is a conversation between just user 32 and user 3?
I've tried the following:
SELECT conversation_id AS cid,
       user_id
FROM conversation_user
GROUP BY cid HAVING count(*) = 2
AND (user_id = 32
     OR user_id = 3);
SELECT conversation_id AS cid,
   user_id
FROM conversation_user
GROUP BY (cid HAVING count(*) = 2
AND (user_id = 32
     OR user_id = 3));
SELECT conversation_id AS cid,
       user_id
FROM conversation_user
WHERE (user_id = 32)
  OR (user_id = 3)
GROUP BY cid HAVING count(*) = 2;
These queries throw an error that says that user_id must appear in the GROUP BY clause or be used in an aggregate function. Putting them in an aggregate function (e.g. MIN or MAX) doesn't sound appropriate. I thought that my first two attempts were putting them in the GROUP BY clause. 
What am I doing wrong?
 
     
     
     
     
    