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Fischer group Fi24 : ウィキペディア英語版
Fischer group Fi24

In the area of modern algebra known as group theory, the Fischer group ''Fi24'' or F24′ is a sporadic simple group of order
:   22131652731113172329
: = 1255205709190661721292800
: ≈ 1.
==History and properties==
''Fi24'' is one of the 26 sporadic groups and is the largest of the three Fischer groups introduced by while investigating 3-transposition groups. It is the 3rd largest of the sporadic groups (after the Monster group and Baby Monster group).
The outer automorphism group has order 2, and the Schur multiplier has order 3. The automorphism group is a 3-transposition group Fi24, containing the simple group with index 2.
The centralizer of an element of order 3 in the monster group is a triple cover of the sporadic simple group ''Fi24'', as a result of which the prime 3 plays a special role in its theory.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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