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Involutions and semiinvolutions

Hiroyuki Ishibashi — 2006

Czechoslovak Mathematical Journal

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.

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