Tits geometries and parabolic systems in finitely generated groups. I
From MaRDI portal
Publication:1055546
DOI10.1007/BF01163511zbMath0521.20007OpenAlexW4248912391MaRDI QIDQ1055546
Publication date: 1983
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173370
complete bipartite graphChevalley groupsdesarguesian projective planeflag transitive automorphism groupproduct of groupsbuildings of spherical typechambersystemsdirect sum of geometriesfinite Borel subgrouplocally finite residually connected geometryperfect central extensionpushing up
Finite simple groups and their classification (20D05) General theory of linear incidence geometry and projective geometries (51A05) Products of subgroups of abstract finite groups (20D40)
Related Items
On certain geometries of type \(C_ n\) and \(F_ 4\), Locally finite classical Tits chamber systems of large order, Classifying the finite simple groups, On a theorem by Aschbacher, Some locally finite buildings derived from kantor's 2-adic groups, Saturated fusion systems with parabolic families., Chamber systems, geometries and parabolic systems whose diagram contains only bonds of strength 1 and 2, Groups generated by \(k\)-root subgroups, A 3-local identification of two almost simple extensions of \(P\Omega_8^+(2)\)., Triangle groups, On the minimal parabolic system related to the Monster simple group, Tits geometries over gf(2) Defined by groups over gf(3), The affine building of type \(\tilde A_ 2\) over a local field of characteristic two, Triangle geometries
Cites Work
- Unnamed Item
- Unnamed Item
- On graphs with edge-transitive automorphism groups
- Graphs with subconstituents containing \(Sz(q)\) and \(L_2(r)\)
- Flag structures on Tits geometries
- Chamber systems with string diagrams
- Kantentransitive Graphen und Gruppen vom Rang 2. (Edge transitive graphs and groups of rank 2)
- BN-pairs and finite groups with parabolic-type subgroups
- A remark on Thompson's replacement theorem and a consequence
- Irreducible modules and parabolic subgroups
- Flag-transitive subgroups of Chevalley groups
- Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extraspecial
- On Certain Groups with Parabolic-Type Subgroups over Z 2
- On Finite Groups in Which a Maximal Abelian Normal Subgroup of Some Maximal 2-Local Subgroup is a Ti-Set
- On the Failure of the Thompson Factorization in 2-Constrained Groups
- The basic diagram of a geometry
- Automorphisms of trivalent graphs