Hello,
On Fedora 20, I try the following:

1) create a cgroup called "0"
/sys/fs/cgroup/memory/0
run:

echo "1" > /sys/fs/cgroup/memory/0/memory.oom_control 
bash: echo: write error: Invalid argument

Why am I having this error  ?

According to the documentation:

http://lxr.free-electrons.com/source/Documentation/cgroups/memory.txt:
You can disable the OOM-killer by writing "1" to memory.oom_control file, as:
754 
755         #echo 1 > memory.oom_control
756 
757 This operation is only allowed to the top cgroup of a sub-hierarchy.
758 If OOM-killer is disabled, tasks under cgroup will hang/sleep
759 in memory cgroup's OOM-waitqueue when they request accountable memory.
760 

regards,
      Kevin