Abstract
We say that a finite almost simple G with socle S is admissible (with respect to the spectrum) if G and S have the same sets of orders of elements. Let L be a finite simple linear or unitary group of dimension at least three over a field of odd characteristic. We describe admissible almost simple groups with socle L. Also we calculate the orders of elements of the coset Lτ, where τ is the inverse-transpose automorphism of L.
Original language | English |
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Pages (from-to) | 1191-1222 |
Number of pages | 32 |
Journal | Journal of Group Theory |
Volume | 20 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Nov 2017 |
Keywords
- AUTOMORPHIC EXTENSIONS
- SPECTRA
- FIELDS
- RECOGNITION