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Dmitri Nikshych
Dmitri Nikshych
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Let $B$ be the group of upper triangular $n$-by-$n$ matrices of determinant $1$ over a finite field $F$. What is the group of outer automorphisms of $B$? More generally, what are outer automorphisms of the Borel subgroup of a finite Chevalley group?

Let $B$ be the group of upper triangular matrices of determinant $1$ over a finite field $F$. What is the group of outer automorphisms of $B$? More generally, what are outer automorphisms of the Borel subgroup of a finite Chevalley group?

Let $B$ be the group of upper triangular $n$-by-$n$ matrices of determinant $1$ over a finite field $F$. What is the group of outer automorphisms of $B$? More generally, what are outer automorphisms of the Borel subgroup of a finite Chevalley group?

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Dmitri Nikshych
Dmitri Nikshych
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Let $G$$B$ be the group of upper triangular matrices of determinant $1$ over a finite field $F$. What is the group of outer automorphisms of $G$$B$? More generally, what are outer automorphisms of the Borel subgroup of a finite Chevalley group?

Let $G$ be the group of upper triangular matrices of determinant $1$ over a finite field $F$. What is the group of outer automorphisms of $G$? More generally, what are outer automorphisms of the Borel subgroup of a finite Chevalley group?

Let $B$ be the group of upper triangular matrices of determinant $1$ over a finite field $F$. What is the group of outer automorphisms of $B$? More generally, what are outer automorphisms of the Borel subgroup of a finite Chevalley group?

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Dmitri Nikshych
Dmitri Nikshych
  • 639
  • 5
  • 8

Outer automorphisms of Borel subgroup

Let $G$ be the group of upper triangular matrices of determinant $1$ over a finite field $F$. What is the group of outer automorphisms of $G$? More generally, what are outer automorphisms of the Borel subgroup of a finite Chevalley group?