|
In the area of modern algebra known as group theory, the O'Nan group ''O'N'' or O'Nan–Sims group is a sporadic simple group of order : 2934573111931 : = 460815505920 : ≈ 5. ==History== ''O'N'' is one of the 26 sporadic groups and was found by 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/2''n''Z ×Z/2''n''Z ×Z/2''n''Z).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. The Schur multiplier has order 3, and its outer automorphism group has order 2. ''O'N'' is one of the 6 sporadic simple groups called the pariahs because showed that it is not a subquotient of the monster group. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「O'Nan group」の詳細全文を読む スポンサード リンク
|