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Some Non-split Extensions of the Orthogonal Group Ω(7, 3)

✍ Scribed by Masaaki Kitazume

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
127 KB
Volume
224
Category
Article
ISSN
0021-8693

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✦ Synopsis

We will give an explicit construction of the non-split extension 3 и ⍀ 7, 3 : 2, which is a maximal subgroup of Fischer's largest 3-transposition group F . In the 24 proof of non-splitness, we use some Moufang loop of order 81. By using this loop, Ž . we can also construct another non-split extension 3 и ⍀ 7, 3 : 2.

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