Extended F4-buildings and the baby monster

• Main Authors: Ivanov, A. A., Pasechnik, Dmitrii V., Shpectorov, Sergey V.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2011
• Subjects: DRNTU::Science::Mathematics::Geometry
• Online Access: https://hdl.handle.net/10356/92188; http://hdl.handle.net/10220/6871
• Institution: Nanyang Technological University

Let Θ be the Baby Monster graph which is the graph on the set of {3, 4}-transpositions in the Baby Monster group B in which two such transpositions are adjacent if their product is a central involution in B. Then Θ is locally the commuting graph of central (root) involutions in 2E6(2). The graph Θ c...