The flag-transitive tilde and Petersen-type geometries are all known

Author:

Ivanov A. A.,Shpectorov S. V.

Abstract

We announce the classification of two related classes of flag-transitive geometries. There is an infinite family of such geometries, related to the nonsplit extensions 3 [ n 2 ] 2 Sp 2 n ( 2 ) {3^{[\begin {array}{*{20}{c}} n \\ 2 \\ \end {array} ]}}^2 \cdot {\text {Sp}}_{2n}(2) , and twelve sporadic examples coming from the simple groups M 2 2 {M_22} , M 2 3 {M_23} , M 2 4 {M_24} , He, C o 1 Co_{1} , C o 2 Co_{2} , J 4 {J_4} , BM, M and the nonsplit extensions 3 M 2 2 3 \cdot {M_22} , 3 23 C o 2 {3^{23}} \cdot Co_{2} , and 3 4371 B M {3^{4371}} \cdot BM .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference62 articles.

1. The uniqueness of groups of type 𝐽₄;Aschbacher, Michael;Invent. Math.,1991

2. Graduate Texts in Mathematics;Brown, Kenneth S.,1982

3. Diagrams for geometries and groups;Buekenhout, Francis;J. Combin. Theory Ser. A,1979

4. F. Buekenhout, ed., Handbook on finite geometries (to appear).

5. 𝑌₅₅₅ and all that;Conway, J. H.,1992

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