Abstract
In this short note we prove a local version of Philip Hall’s theorem on the nilpotency of the stability group of a chain of subgroups by only using elementary commutator calculus (Hall’s theorem is a direct consequence of our result). This provides a new way of dealing with stability groups.
| Original language | English |
|---|---|
| Pages (from-to) | 599-602 |
| Number of pages | 4 |
| Journal | Journal of Algebraic Combinatorics |
| Volume | 60 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Sep 2024 |
Keywords
- 20E15
- 20F12
- Commutator calculus
- Stability group
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