Automorphisms of unipotent subgroups of chevalley groups

Sylow Subgroups of the Chevalley Groups and Associated (Weakly) Finitary Groups and Rings

“…4.4]. The unipotent subgroup U (K) of the Chevalley group (K) is isomorphic to the "adjoint" group of N (K) with respect to a certain operation •, by [10]. It turns to be that the ideals of Lie ring N (K) and only they are normal subgroups of the group (N (K), •) for a field K = 2K with K = 3K at = G 2 ; all ideals are also described in [11].…”

The Automorphism Group of Certain Radical Matrix Rings

“…For arbitrary associative ring K with identity automorphism groups of NT n K , G NT n K and NT n K were described in [9; 10, Theorem 1]; see surveys in [2,15]. This result was extended to all Chevalley groups in [11,12] and so the problem (1.5) of [6] on unipotent subgroups of Chevalley groups was solved. On the other hand, the question about description of automorphisms of Sylow p-subgroups of Chevalley groups over Z p m for m > 1 [7,Question 12.42] is still open.…”

Local Automorphisms of Nil-triangular Subalgebras of Classical Lie Type Chevalley Algebras

“…The Lie algebras N Φ(K) of type B n , C n and D n are given in [9] similarly in the base of matrix units e iv , respectively…”

“…According to [9], if the Lie ring (or group) does not coincide with its mth hypercenter, then its automorphism is said to be hypercentral of height m, or simply hypercentral, if it is the identity automorphism modulo the mth hypercenter and an outer automorphism modulo the (m − 1)th hypercenter.…”