Geodesic
Rank three residually connected geometries for \(M_{22}\), revisited
The electronic journal of combinatorics, Tome 17 (2010)
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The rank $3$ residually connected flag transitive geometries $\Gamma$ for $M_{22}$ for which the stabilizer of each object in $\Gamma$ is a maximal subgroup of $M_{22}$ are determined. As a result this deals with the infelicities in Theorem $3$ of Kilic and Rowley [On rank 2 and rank 3 residually connected geometries for $M_{22}$. Note di Matematica, 22(2003), 107–154].
DOI : 10.37236/453
Classification : 51E20, 20D08, 05C25
Mots-clés : residually connected flag transitive geometries, Mathieu group 
@article{10_37236_453,
     author = {Dimitri Leemans and Peter Rowley},
     title = {Rank three residually connected geometries for {\(M_{22}\),} revisited},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/453},
     zbl = {1209.51004},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/453/}
}
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%A Peter Rowley
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%J The electronic journal of combinatorics
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Dimitri Leemans; Peter Rowley. Rank three residually connected geometries for \(M_{22}\), revisited. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/453

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