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Involutions and semiinvolutions

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Josai University, Sakado, Saitama, 350-02, Japan

    Hiroyuki Ishibashi

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  1. Hiroyuki Ishibashi
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Ishibashi, H. Involutions and semiinvolutions. Czech Math J 56, 533–541 (2006). https://doi.org/10.1007/s10587-006-0035-3

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  • DOI: https://doi.org/10.1007/s10587-006-0035-3

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