On p-groups with automorphism groups related to the exceptional Chevalley groups
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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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2020
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2020.1760873