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Odd-primary homotopy exponents of compact simple Lie groups
Donald M Davis and Stephen D Theriault
Geometry & Topology Monographs 13
(2008) 195–201
1
M Bendersky ,
D M Davis , The unstable Novikov spectral
sequence for Sp(n), and the power series sinh −1(x) ,
from: "Adams Memorial Symposium on Algebraic Topology, 2
(Manchester, 1990)", LMS Lecture Note Ser. 176, Cambridge Univ.
Press (1992) 73–86 MR1232200
2
M Bendersky ,
D M Davis , 3-primary
v1 -periodic homotopy groups of F4 and
E6 MR1231069
3
M Bendersky ,
D M Davis , M Mimura , v1 -periodic
homotopy groups of exceptional Lie groups: torsion-free
cases MR1116310
4
A Borel , F
Hirzebruch , Characteristic classes and
homogeneous spaces. II MR0110105
5
F R Cohen ,
J C Moore , J A Neisendorfer ,
The double
suspension and exponents of the homotopy groups of
spheres MR554384
6
D M Davis ,
From representation theory to homotopy groups , Mem.
Amer. Math. Soc. 160 (2002) MR1938184
7
D M Davis ,
Z W Sun , A
number-theoretic approach to homotopy exponents of
SU(n) MR2288289
8
D M Davis , H
Yang , Tractable formulas for v1 -periodic
homotopy groups of SU(n) when n≤
p2 −p+1 , Forum Math. 8 (1996) 585–619
MR1404804
9
B Harris , On the homotopy groups of
the classical groups MR0131278
10
M Mimura , G
Nishida , H Toda , Mod p decomposition of compact
Lie groups , Publ. Res. Inst. Math. Sci. 13 (1977/78)
627–680 MR0478187
11
S D Theriault ,
The 5-primary homotopy exponent of the exceptional Lie group
E8 , J. Math. Kyoto Univ. 44 (2004) 569–593
MR2103783
12
S D Theriault ,
Homotopy exponents of Harper's spaces , J. Math. Kyoto
Univ. 44 (2004) 33–42 MR2062706
