History
The O'Nan group was found by Michael O'Nan (1976) in a study of groups with a Sylow 2-subgroup of "Alperin type", meaning isomorphic to a Sylow 2-Subgroup of a group of type (Z/2nZ ×Z/2nZ ×Z/2nZ).PSL3(F2). For the O'Nan group n=2 and the extension does not split. The only other simple group with a Sylow 2-subgroup of Alperin type with n≥2 is the Higman–Sims group again with n=2, but the extension splits.
Read more about this topic: O'Nan Group
Famous quotes containing the word history:
“If man is reduced to being nothing but a character in history, he has no other choice but to subside into the sound and fury of a completely irrational history or to endow history with the form of human reason.”
—Albert Camus (1913–1960)
“The history of philosophy is to a great extent that of a certain clash of human temperaments.”
—William James (1842–1910)
“You that would judge me do not judge alone
This book or that, come to this hallowed place
Where my friends’ portraits hang and look thereon;
Ireland’s history in their lineaments trace;
Think where man’s glory most begins and ends
And say my glory was I had such friends.”
—William Butler Yeats (1865–1939)