## Abstract

Consider I_{n}(K), the set of solutions to the equation X^{2}=0 in n×n strictly upper-triangular matrices over field K. In this paper we construct the bijection from the set of adjoint orbits in I_{n}(K) onto the set of involutions in symmetric group S_{n}. For a finite field K we compute the number of points in the orbits.

Original language | English |
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Pages (from-to) | 101-108 |

Number of pages | 8 |

Journal | Journal of Algebra |

Volume | 223 |

Issue number | 1 |

DOIs | |

State | Published - 1 Jan 2000 |

Externally published | Yes |

## ASJC Scopus subject areas

- Algebra and Number Theory

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