Conversation so far:
What happened during this time period?
At Eric Clapton's suggestion, the brothers moved to Miami, Florida, early in 1975 to record.
what did that lead to?
After starting off with ballads, they eventually heeded the urging of Mardin and Stigwood, and crafted more dance-oriented disco songs.

Question: any awards or special recognition during this time?
Self-contained rewrite: Did the Bee Gees receive any awards or special recognition after moving to Miami?