document: Recognizing groups G/sub 2 / -LRB- 3/sup n / -RRB- by their element orders It is proved that a finite group that is isomorphic to a simple non-Abelian group G = G/sub 2 / -LRB- 3/sup n / -RRB- is , up to isomorphism , recognized by a set omega -LRB- G -RRB- of its element orders , that is , H approximately = G if omega -LRB- H -RRB- = omega -LRB- G -RRB- for some finite group H
doc_bio_tags: O O O O O O O O O O O O B I O O O O O B I O O O O O O O O O O O O O O O O O O O O O O B O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O B I O
extractive_keyphrases: element orders finite group isomorphism