Allow is related to Consent. Consent is the opposite of Oppose. Oppose is the opposite of Promote. 
Advice is a synonym of Suggestion. Suggestion is a synonym of Trace. Construct is a type of Trace. Construct is a synonym of Idea. 
Allow <--RelatedTo--> Consent <--Antonym--> Oppose <--Antonym--> Promote 
Advice <--Synonym--> Suggestion <--Synonym--> Trace <--IsA-- Construct <--Synonym--> Idea 