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PreprintCC BY 4.0arXiv

Automorphisms of Twisted Chevalley Groups of type 2 A3 and 2 A4 over Local Rings

Abstract

We give a complete classification of the automorphisms of twisted Chevalley groups of types 2A3 and 2A4, and of their elementary subgroups, over commutative local rings R containing 1/2 and equipped with a non-trivial involution θ. The classification covers all isogeny types and, together with our higher-rank result~\cite{EB&DM1}, completes the description for type 2Aℓ with ℓ≥3.

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BibTeX
@misc{bunina2026automorphisms,
  title = {{Automorphisms of Twisted Chevalley Groups of type $^2 A_3$ and $^2 A_4$ over Local Rings}},
  author = {Elena I. Bunina and Deep H. Makadiya},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.02617},
  eprint = {2609.02617},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02617},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Automorphisms of Twisted Chevalley Groups of type ^2 A_3 and ^2 A_4 over Local Rings
AU  - Elena I. Bunina
AU  - Deep H. Makadiya
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.02617
UR  - https://arxiv.org/abs/2609.02617
AB  - We give a complete classification of the automorphisms of twisted Chevalley groups of types ^2A_3 and ^2A_4, and of their elementary subgroups, over commutative local rings R containing 1/2 and equipped with a non-trivial involution θ. The classification covers all isogeny types and, together with our higher-rank result~\cite{EB&DM1}, completes the description for type ^2A_ℓ with ℓ≥3.
ER  -