### Abstract

Let G be a finite simple group of Lie type in characteristic p. We investigate how large the set of p′-elements acting without fixed points on an irreducible G-module in characteristic p can be. This comes up naturally in studying derangements for finite primitive groups and also in a computational group algorithm proposed by Babai and Shalev. We also consider the same problem for algebraic groups.

Original language | English (US) |
---|---|

Pages (from-to) | 271-310 |

Number of pages | 40 |

Journal | Journal of Group Theory |

Volume | 6 |

Issue number | 3 |

State | Published - 2003 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Journal of Group Theory*,

*6*(3), 271-310.

**Finite simple unisingular groups of Lie type.** / Guralnick, Robert M.; Tiep, Pham Huu.

Research output: Contribution to journal › Article

*Journal of Group Theory*, vol. 6, no. 3, pp. 271-310.

}

TY - JOUR

T1 - Finite simple unisingular groups of Lie type

AU - Guralnick, Robert M.

AU - Tiep, Pham Huu

PY - 2003

Y1 - 2003

N2 - Let G be a finite simple group of Lie type in characteristic p. We investigate how large the set of p′-elements acting without fixed points on an irreducible G-module in characteristic p can be. This comes up naturally in studying derangements for finite primitive groups and also in a computational group algorithm proposed by Babai and Shalev. We also consider the same problem for algebraic groups.

AB - Let G be a finite simple group of Lie type in characteristic p. We investigate how large the set of p′-elements acting without fixed points on an irreducible G-module in characteristic p can be. This comes up naturally in studying derangements for finite primitive groups and also in a computational group algorithm proposed by Babai and Shalev. We also consider the same problem for algebraic groups.

UR - http://www.scopus.com/inward/record.url?scp=0038759670&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038759670&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0038759670

VL - 6

SP - 271

EP - 310

JO - Journal of Group Theory

JF - Journal of Group Theory

SN - 1433-5883

IS - 3

ER -