# Holoedric isomorphism?

While trying to read the following article

Schottenfells, Ida May. Two Non-Isomorphic Simple Groups Of The Same Order 20,160.

I found the term "holoedrically isomorphic". In an abstract for the article, I also came across the claim that "Holoedric isomorphism is the only isomorphism that can exist between two simple groups."

I haven't been able to find a definition for this term anywhere. Presumably it is a stronger notion than that of a normal isomorphism of groups? What does it mean?

• Some googling suggests it means "simply isomorphic" aka naturally isomorphic. – anon Jul 13 '12 at 18:51