2012.104: Linear methods in the study of automorphisms
2012.104: E. I. Khukhro (2012) Linear methods in the study of automorphisms. In: Algorithmic problems in group theory and related areas, July, 30 - August, 10, 2012, Chemal, Altai, Russia.
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Abstract
Mainly about automorphisms of finite groups, but also some infinite (especially nilpotent).
1. Survey: Results on fixed-point-free and almost fixed-point-free automorphisms. Open problems
2. Some methods of representation theory: Automorphisms as linear transformations. Clifford's theorem. Hall--Higman--type theorems. Automorphism of prime order with fixed-point subgroup of given rank.
3. Lie ring methods: Automorphisms of Lie rings. Associated Lie rings. Method of graded centralizers. Automorphism of order $p$ acting on a finite $p$-group. Frobenius groups of automorphisms with fixed-point-free kernel. Lazard Lie algebra.
4. Baker--Campbell--Hausdorff formula: Mal'cev correspondence. Lazard correspondence. Automorphism of order $p^n$ acting on a finite $p$-group.
5. Elimination of operators by nilpotency.
| Item Type: | Conference or Workshop Item (Lecture) |
|---|---|
| Uncontrolled Keywords: | Mainly about automorphisms of finite groups, but also some infinite (especially nilpotent). 1. Survey: Results on fixed-point-free and almost fixed-point-free automorphisms. Open problems 2. Some methods of representation theory: Automorphisms as linear transformations. Clifford's theorem. Hall--Higman--type theorems. Automorphism of prime order with fixed-point subgroup of given rank. 3. Lie ring methods: Automorphisms of Lie rings. Associated Lie rings. Method of graded centralizers. Automorphism of order $p$ acting on a finite $p$-group. Frobenius groups of automorphisms with fixed-point-free kernel. Lazard Lie algebra. 4. Baker--Campbell--Hausdorff formula: Mal'cev correspondence. Lazard correspondence. Automorphism of order $p^n$ acting on a finite $p$-group. 5. Elimination of operators by nilpotency. |
| Subjects: | MSC 2000 > 20 Group theory and generalizations |
| MIMS number: | 2012.104 |
| Deposited By: | Professor Evgeny Khukhro |
| Deposited On: | 18 October 2012 |
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