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Abstract: The McLaughlin sporadic simple group McL is the flag-transitive automorphism group of a Petersen-type geometry G = G(McL) with the diagram P 3 3 : 1 ffi 1 ffi P 2 ffi 2 ffi; where the edge in the middle indicates the geometry of vertices and edges of the Petersen graph. The elements corresponding to the nodes from the left to the right on the diagram P 3 3 are called points, lines, triangles and planes, respectively. The residue in G of a point is the P 3 -geometry G(Mat 22 ) of the... (Update)
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.... , f i) 2 , gh) 2 , gi) 2 , hi) 2 , j 2 , d j) 2 e, # j, ad # , c j) 3 , j f ) 2 gi, jb) 2 eg # [Baumeister et.al. 2000], which has a quotient isomorphic McL exposed by the extra relators (acb) 8 and ( jca) 7 . Let N be the kernel of this quotient b : G #McL. The...
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BibTeX entry: (Update)
B. Baumeister, A. A. Ivanov, and D. V. Pasechnik, A characterization of the Petersen-type geometry of the McLaughlin group, Math. Proc. Cambridge Philos. Soc. 128 (2000), no. 1, 21--44. http://citeseer.ist.psu.edu/baumeister98characterization.html More
@misc{ baumeister00characterization,
author = "B. Baumeister and A. Ivanov and D. Pasechnik",
title = "A characterization of the Petersen-type geometry of the McLaughlin group",
text = "B. Baumeister, A. A. Ivanov, and D. V. Pasechnik, A characterization of
the Petersen-type geometry of the McLaughlin group, Math. Proc. Cambridge
Philos. Soc. 128 (2000), no. 1, 21--44.",
year = "2000",
url = "citeseer.ist.psu.edu/baumeister98characterization.html" }
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