I installed go 1.7.4 by untarring it into ~/go and setting GOROOT accordingly. I also created ~/work/src/github.com/user/hello and set GOPATH accordingly.
When trying the hello world example from https://golang.org/doc/install#testing I get the following error:
$ go install github.com/user/hello ../work/src/github.com/user/hello/hello.go:3:8: cannot find package "fmt" in any of: /home/user/go/src/pkg/fmt (from $GOROOT) /home/user/work/src/fmt (from $GOPATH) package github.com/user/hello imports runtime: cannot find package "runtime" in any of: /home/user/go/src/pkg/runtime (from $GOROOT) /home/user/work/src/runtime (from $GOPATH)
Checking ~/go, I find fmt in ~/go/src/fmt and not ~/go/src/pkg/fmt
It feels like I am missing something crucial. Thankful for assistance.