Normalizers and centralizers of p-subgroups in normal subsystems of fusion systems
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
Suppose E is a normal subsystem of a saturated fusion system F over S. If X≤S is fully F-normalized, then Aschbacher defined a normal subsystem NE(X) of NF(X). In this short note we revisit and generalize this result using the theory of localities. Our more general approach leads in particular to a normal subsystem CE(X) of CF(X) for every X≤S which is fully F-centralized.
Details
| Original language | English |
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| Pages (from-to) | 471-478 |
| Number of pages | 8 |
| Journal | Journal of algebra |
| Volume | 588 |
| Issue number | 588 |
| Publication status | Published - 15 Dec 2021 |
| Peer-reviewed | Yes |
External IDs
| Scopus | 85114771917 |
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