Abstract
A family of exotic fusion systems generalizing the group fusion systems on Sylow p-subgroups of G2(p a) and Sp4(p a) is constructed.
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References
Brauer R., Nesbitt C.: On the modular characters of groups, Ann. Math. 42, 556–590 (1941)
Clelland M., Parker C.: Two families of exotic fusion systems, J. Algebra, 323, 287–304 (2010)
D. A. Craven, The theory of fusion systems. An algebraic approach. Cambridge Studies in Advanced Mathematics, 131. Cambridge University Press, Cambridge, 2011.
D. Gorenstein, R. Lyons and R. Solomon, The classification of the finite simple groups.Number 3, Part I Chapter A, Alomst simple K-groups, Math. Survey Monogr. vol 40.3, Amer. Math. Soc. 1998.
C. Parker et al. Groups which are almost groups of Lie type in characteristic p, manuscript.
Robinson G.R.: Amalgams, blocks, weights. fusion systems and simple groups. J. Algebra 314, 912–923 (2007)
R. Salarian and G. Stroth, Existence of strongly p-embedded subgroups, Comm. in Algebra, to appear.
J.-P. Serre, Trees, Translated from the French by John Stillwell. Springer-Verlag, Berlin-New York, 1980.
S. Smith: Irreducible modules and parabolic subgroups. J. Algebra 75, 286–289 (1982)
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Parker, C., Stroth, G. A Family of fusion systems related to the groups Sp4(p a) and G2(p a). Arch. Math. 104, 311–323 (2015). https://doi.org/10.1007/s00013-015-0751-8
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DOI: https://doi.org/10.1007/s00013-015-0751-8