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・ 3-phytase
・ 3-Pronged Parts Retriever
・ 3-propylmalate synthase
・ 3-Pun Yosō Umaban Club
・ 3-Pyridylnicotinamide
・ 3-Quinuclidinyl benzilate
・ 3-ring release system
・ 3-Song EP (Royal Trux EP)
・ 3-sphere
・ 3-stage VTEC
・ 3-step group
・ 3-subset meet-in-the-middle attack
・ 3-Succinoylsemialdehyde-pyridine dehydrogenase
・ 3-Tage-Bart
・ 3-Thiophene acetic acid
3-transposition group
・ 3-Ureidopropionic acid
・ 3-Way
・ 3-Way (disambiguation)
・ 3-Way (The Golden Rule)
・ 3-way lamp
・ 3-Way Tie (For Last)
・ 3. deild
・ 3. deild karla
・ 3. Divisjon
・ 3. elpa
・ 3. Liga
・ 3. Liga (Slovakia)
・ 3. Liga Süd-West
・ 3. Maj


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3-transposition group : ウィキペディア英語版
3-transposition group
In mathematical group theory, a 3-transposition group is a group generated by a conjugacy class of involutions, called the 3-transpositions, such that the product of any two involutions from the conjugacy class has order at most 3. They were first studied by who discovered the three Fischer groups as examples of 3-transposition groups.
==History==
first studied 3-transposition groups in the special case when the product of any two distinct transpositions has order 3. He showed that a finite group with this property is solvable, and has a (nilpotent) 3-group of index 2. used these groups to construct examples of non-abelian CH-quasigroups and to describe the structure of commutative Moufang loops of exponent 3.

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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