Geodesic
SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 165-174

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DOI

A Lie group is called p-regular if it has the p-local homotopy type of a product of spheres. (Non)triviality of the Samelson products of the inclusions of the factor spheres into p-regular SO(2n (p) is determined, which completes the list of (non)triviality of such Samelson products in p-regular simple Lie groups. As an application, we determine the homotopy normality of the inclusion SO(2n − 1) → SO(2n) in the sense of James at any prime p.
DOI : 10.1017/S001708951600063X
Mots-clés : 55Q15 
KISHIMOTO, DAISUKE; TSUTAYA, MITSUNOBU. SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 165-174. doi: 10.1017/S001708951600063X
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     title = {SAMELSON {PRODUCTS} {IN} {p-REGULAR} {SO(2n)} {AND} {ITS} {HOMOTOPY} {NORMALITY}},
     journal = {Glasgow mathematical journal},
     pages = {165--174},
     year = {2018},
     volume = {60},
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     doi = {10.1017/S001708951600063X},
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