There , he became good friends with several members of the Bloomsbury Group including James Strachey , Lytton Strachey , Rupert Brooke , John Maynard Keynes , and Duncan Grant , who painted many portraits of Mallory . There , he became good friends with members of the Bloomsbury Group including James Strachey , Lytton Strachey , Rupert Brooke , John Maynard Keynes , and Duncan Grant , who painted several portraits of Mallory .