Maximal subloops of finite simple Moufang loops.
From MaRDI portal
Publication:855735
DOI10.1016/J.JALGEBRA.2006.02.038zbMath1120.20065OpenAlexW1963724920MaRDI QIDQ855735
Alexander N. Grishkov, Andrei V. Zavarnitsine
Publication date: 7 December 2006
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.02.038
automorphism groupsfinite simple Moufang loopsgroups with trialityCayley algebrasmaximal subloopsnon-associative Moufang loopssimple alternative algebras
Loops, quasigroups (20N05) Simple groups: alternating groups and groups of Lie type (20D06) Composition algebras (17A75)
Related Items (3)
CLASSIFICATION OF SUBALGEBRAS OF THE CAYLEY ALGEBRA OVER A FINITE FIELD ⋮ Sylow's theorem for Moufang loops. ⋮ GROUPS WITH TRIALITY
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
- The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
- Maximal subgroups of \(G_2(2^n)\)
- The maximal subloops of the simple Moufang loop of order 1080.
- Homotopes of alternative algebras
- Integral Cayley numbers
- The classification of finite simple Moufang loops
- Simple Moufang loops
- Automorphism groups of simple Moufang loops over perfect fields
- Moufang Loops of Small Order. I
- Lagrange's theorem for Moufang loops
- GROUPS WITH TRIALITY
- Some Geometry of Triality with Applications to Involutions of Certain Orthogonal Groups
- The characterization of \(\text{PSL}(2,q)\) by its element orders
This page was built for publication: Maximal subloops of finite simple Moufang loops.