Automorphism groups of unipotent groups of Chevalley type
نویسندگان
چکیده
منابع مشابه
Chevalley Groups of Type G2 as Automorphism Groups of Loops
Let M∗(q) be the unique nonassociative finite simple Moufang loop constructed over GF (q). We prove that Aut(M∗(2)) is the Chevalley group G2(2), by extending multiplicative automorphism of M∗(2) into linear automorphisms of the unique split octonion algebra over GF (2). Many of our auxiliary results apply in the general case. In the course of the proof we show that every element of a split oct...
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متن کامل2 4 Ja n 20 07 Chevalley Groups of Type G 2 as Automorphism Groups of Loops
Let M * (q) be the unique nonassociative finite simple Moufang loop constructed over GF (q). We prove that Aut(M * (2)) is the Chevalley group G 2 (2), by extending multiplicative automorphism of M * (2) into linear automorphisms of the unique split octonion algebra over GF (2). Many of our auxiliary results apply in the general case. In the course of the proof we show that every element of a s...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1976
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1976.66.373