A generalized Cameron–Kantor theorem

Marco Antonio Pellegrini

doi:10.1016/j.jalgebra.2006.02.016

A generalized Cameron–Kantor theorem

Marco Antonio Pellegrini

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper we prove that the non-trivial unipotent characters of PSL (n, q) are reducible over any proper subgroup, with the only exception of the unipotent character of PSL (4, 2) of degree 14. This result can be viewed as a generalization of a theorem of Cameron and Kantor.

Original language	English
Pages (from-to)	397-418
Number of pages	22
Journal	Journal of Algebra
Volume	304
DOIs	https://doi.org/10.1016/j.jalgebra.2006.02.016
Publication status	Published - 2006

Keywords

FINITE SUBGROUPS

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10.1016/j.jalgebra.2006.02.016

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title = "A generalized Cameron{\textendash}Kantor theorem",

abstract = "In this paper we prove that the non-trivial unipotent characters of PSL (n, q) are reducible over any proper subgroup, with the only exception of the unipotent character of PSL (4, 2) of degree 14. This result can be viewed as a generalization of a theorem of Cameron and Kantor.",

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AB - In this paper we prove that the non-trivial unipotent characters of PSL (n, q) are reducible over any proper subgroup, with the only exception of the unipotent character of PSL (4, 2) of degree 14. This result can be viewed as a generalization of a theorem of Cameron and Kantor.

KW - FINITE SUBGROUPS

UR - http://hdl.handle.net/10807/55556

U2 - 10.1016/j.jalgebra.2006.02.016

DO - 10.1016/j.jalgebra.2006.02.016

M3 - Article

SN - 0021-8693

VL - 304

SP - 397

EP - 418

JO - Journal of Algebra

JF - Journal of Algebra

ER -

A generalized Cameron–Kantor theorem

Abstract

Keywords

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