Strongly embedded subgroup

In finite group theory, an area of abstract algebra, a strongly embedded subgroup of a finite group "G" is a proper subgroup "H" of even order such that "H" ∩ "H""g" has odd order whenever "g" is not in "H". 
The Bender–Suzuki theorem, proved by extending work of , classifies the groups "G" with a strongly embedded subgroup "H". It states that either
 revised Suzuki's part of the proof.
 extended Bender's classification to groups with a proper 2-generated core.