Singular Points of a Compact Transformation Group

1956 ◽  
Vol 63 (1) ◽  
pp. 1 ◽  
Author(s):  
D. Montgomery ◽  
H. Samelson ◽  
L. Zippin
1987 ◽  
Vol 39 (4) ◽  
pp. 908-919 ◽  
Author(s):  
Helmut Salzmann

Let be a topological projective plane with compact point set P of finite (covering) dimension. In the compact-open topology (of uniform convergence), the group Σ of continuous collineations of is a locally compact transformation group of P.THEOREM. If dim Σ > 40, thenis isomorphic to the Moufang plane 6 over the real octonions (and dim Σ = 78).By [3] the translation planes with dim Σ = 40 form a one-parameter family and have Lenz type V. Presumably, there are no other planes with dim Σ = 40, cp. [17].


2006 ◽  
Vol 175 (2) ◽  
pp. 103-120 ◽  
Author(s):  
Robert J. Archbold ◽  
Eberhard Kaniuth

1978 ◽  
Vol 3 ◽  
pp. 381-386 ◽  
Author(s):  
F. Hardouin ◽  
G. Sigaud ◽  
M.-F. Achard ◽  
H. Gasparoux
Keyword(s):  

1988 ◽  
Vol 154 (3) ◽  
pp. 525 ◽  
Author(s):  
V.P. Antropov ◽  
Valentin G. Vaks ◽  
M.I. Katsnel'son ◽  
V.G. Koreshkov ◽  
A.I. Likhtenshtein ◽  
...  

2006 ◽  
Vol 26 (Supplement2) ◽  
pp. 237-240
Author(s):  
Sinzaburo UMEDA ◽  
Shinji SHIGEYAMA ◽  
Wen-Jei YANG

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