cannot remove schema public

create user test password 'test';

and database

create database test owner test;

I logged into the database as the user:

test=# \c test test
You are now connected to database "test" as user "test".

And the owner of the public schema is not test, however it's an owner of the test database.

test=# \dn
 List of schemas
  Name  | Owner 
--------+--------
 public | szymon
(1 row)

When I try to remove the public schema, then I get:

test=> drop schema public cascade;
ERROR:  must be owner of schema public

regards,
Szymon