The Brauer method is a term used in mathematics and algebraic topology to describe a technique for constructing modules over commutative rings. However, there are alternative synonyms that can be used to refer to this method. One such synonym is the Brauer construction, which captures the process of building modules using representatives of certain equivalence classes. Another synonym is the Brauer group method, emphasizing the group-theoretic aspects of the technique. Lastly, the term "Brauer induction" is also occasionally used to describe the method, highlighting its connection to induction principles in representation theory. These synonyms provide alternative ways to refer to the same mathematical concept, allowing for a clearer understanding and communication within the field.