Nerve is a synonym of Encourage. Encourage is a synonym of Invite. Invite is a synonym of Request. 
Denial is related to Deny. Deny is the opposite of Permit. Permit is related to Like. 
Nerve <--Synonym--> Encourage <--Synonym--> Invite <--Synonym--> Request 
Denial <--RelatedTo--> Deny <--Antonym--> Permit <--RelatedTo--> Like 