A Note on Groups of Ree Type
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 451-452
Voir la notice de l'article provenant de la source Cambridge University Press
The nonsolvable R-groups as defined by Walter [3] are groups of orders (q 3+l)q 3(q — 1), q = 32n+1, n ≥ 0. These are the groups of Ree type discussed by Ward [4] together with the Ree group R(3) of order 28.27.2. The R-group with parameter q has a doubly transitive representation of degree q 3+1 but in this note we will prove that it cannot contain a sharply doubly transitive subset.
Lorimer, Peter. A Note on Groups of Ree Type. Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 451-452. doi: 10.4153/CMB-1973-074-1
@article{10_4153_CMB_1973_074_1,
author = {Lorimer, Peter},
title = {A {Note} on {Groups} of {Ree} {Type}},
journal = {Canadian mathematical bulletin},
pages = {451--452},
year = {1973},
volume = {16},
number = {3},
doi = {10.4153/CMB-1973-074-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-074-1/}
}
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[4] 4. Ward, H. N., On Ree’s series of simple groups, Trans. Amer. Math. Soc. 121 (1966), 62–89. Google Scholar
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