About 30 minutes before corned beef is completed, add the potatoes and carrots to the broth and continue to simmer for about 30 minutes.
Core cabbage and quarter it. Slice each section into thin slices.
In a separate skillet, melt the butter. Add the sliced cabbage along with the salt and pepper. Saute for about 10-15 minutes., stirring frequently.
Add the cooked carrots and potatoes to the cabbage.