Geodesic
Involutions and semiinvolutions
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 533-541
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We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.
We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.
Classification : 15A04, 15A23, 15A33
Keywords: classical groups; vector spaces and linear maps; involutions; factorization of a linear map into a product of simple ones 
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Ishibashi, Hiroyuki. Involutions and semiinvolutions. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 533-541. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a18/

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