Invariant subgroups of vV
โ Scribed by Gisela Ahlbrandt; Martin Ziegler
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 608 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
This article describes an algorithm for computing up to conjugacy all subgroups of a finite solvable group that are invariant under a set of automorphisms. It constructs the subgroups stepping down along a normal chain with elementary abelian factors.
We develop a theory of invariants using the formalism of quivers, generalizing earlier results attributed to Procesi. As an application, let \(H\) be the Levi component of a parabolic subgroup of a classical Lie group \(G\) with Lie algebra a. We describe a finite set of generators for \(\mathscr{P}
that if G is a finite group with a subgroup H of finite index n, then the nth power ลฝ . n ลฝ . of the Schur multiplier of G, M G , is isomorphic to a subgroup of M H . In this paper we prove a similar result for the centre by centre by w variety of groups, where w is any outer commutator word. Then u