Some exceptional 2-adic buildings
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Publication:1056908
DOI10.1016/0021-8693(85)90155-3zbMath0562.51006OpenAlexW2026804814MaRDI QIDQ1056908
Publication date: 1985
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(85)90155-3
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial structures in finite projective spaces (51E20) Combinatorial geometries and geometric closure systems (51D20)
Related Items (27)
Primitive permutation groups of odd degree, and an application to finite projective planes ⋮ Some locally finite flag-transitive buildings ⋮ 2-minimal subgroups of orthogonal groups ⋮ One Class Genera of Lattice Chains Over Number Fields ⋮ Weights and covers of chamber systems ⋮ Semisymmetric cubic graphs of twice odd order ⋮ A finite flag-transitive geometry of extended \(G_ 2\)-type ⋮ A geometric condition for incidence-matrix nullvectors ⋮ On discrete chamber-transitive automorphism groups of affine buildings ⋮ Discrete subgroups acting transitively on vertices of a Bruhat-Tits building ⋮ Intransitive geometries and fused amalgams ⋮ On decomposition of modular representations from Cohen-Macaulay geometries ⋮ Rank one isolated \(p\)-minimal subgroups in finite groups ⋮ Chamber systems, geometries and parabolic systems whose diagram contains only bonds of strength 1 and 2 ⋮ An algorithmic approach to fundamental groups and covers of combinatorial cell complexes ⋮ A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver. ⋮ Some locally 3-arc transitive graphs constructed from triality ⋮ Some projective modules determined by sporadic geometries ⋮ One-class genera of exceptional groups over number fields ⋮ Some geometry for MCL ⋮ Some sporadic geometries related to PG(3,2) ⋮ Chamber graphs of some geometries that are almost buildings ⋮ The affine building of type \(\tilde A_ 2\) over a local field of characteristic two ⋮ Ovoids and spreads of the generalized hexagon \(\mathbf H(3)\) ⋮ Two pairs of simply connected geometries ⋮ The 2-adic affine building of type \(\tilde A_ 2\) and its finite projections ⋮ Sheaf homology for truncated buildings of type \(M_{24}/Sp_ 8(2)\)
Cites Work
- Sur la trialité et certains groupes qui s'en déduisent
- Coverings and automorphisms of chamber systems
- Some geometries that are almost buildings
- Flag structures on Tits geometries
- Minimal parabolic geometries for the sporadic groups
- Diagrams for geometries and groups
- Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. III
- Buildings of spherical type and finite BN-pairs
- Reductive groups over a local field
- Integral Cayley numbers
- Tits geometries over gf(2) Defined by groups over gf(3)
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