We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
CLASS PRESERVING AUTOMORPHISMS OF UNITRIANGULAR GROUPS.
- Authors
BARDAKOV, VALERIY; VESNIN, ANDREI; YADAV, MANOJ K.; Grigorchuk, R. I.
- Abstract
Let UTn (K) be a unitriangular group over a field K. We prove that the group of all class preserving automorphisms of UTn (K) is equal to Inn(UTn (K)) if and only if K is a prime field. Let $G_n^{(m)} = {\rm UT}_n ({\mathbb F}_{p^m}) / \gamma_3 ({\rm UT}_n({\mathbb F}_{p^m}))$, where γ3 (UTn(픽pm)) denotes the third term of the lower central series of UTn(픽pm). We calculate the group of all class preserving automorphisms and class preserving outer automorphisms of $G_n^{(m)}$.
- Subjects
SET theory; AUTOMORPHISMS; GROUP theory; MATHEMATICAL proofs; MATHEMATICAL analysis; ALGEBRA
- Publication
International Journal of Algebra & Computation, 2012, Vol 22, Issue 3, p1250023
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196712500233