This is the correct way to write it as described in the documentation:
<https://docs.kernel.org/admin-guide/cgroup-v2.html#terminology>.

* doc/coreutils.texi (nproc invocation): Use cgroup instead of Cgroup.
---
 doc/coreutils.texi | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/doc/coreutils.texi b/doc/coreutils.texi
index efbfdfd30..937d8afd0 100644
--- a/doc/coreutils.texi
+++ b/doc/coreutils.texi
@@ -17505,7 +17505,7 @@ @node nproc invocation
 If this information is not accessible, then print the number of
 processors installed.  If the @env{OMP_NUM_THREADS} or @env{OMP_THREAD_LIMIT}
 environment variables are set, then they will determine the minimum
-and maximum returned value respectively.  Linux Cgroups version 2
+and maximum returned value respectively.  Linux cgroup version 2
 CPU quotas may also limit the maximum returned value.
 The result is guaranteed to be greater than zero.  Synopsis:
 
@@ -17522,7 +17522,7 @@ @node nproc invocation
 Print the number of installed processors on the system, which may
 be greater than the number online or available to the current process.
 The @env{OMP_NUM_THREADS} or @env{OMP_THREAD_LIMIT} environment variables,
-or Cgroup CPU quotas, are not honored in this case.
+or cgroup CPU quotas, are not honored in this case.
 
 @item --ignore=@var{number}
 @opindex --ignore
-- 
2.51.0


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