Products of conjugacy classes in finite unitary groups G U ( 3 , q 2 ) and S U ( 3 , q 2 )

S.Yu. Orevkov[1]

  • [1] Institut des Mathématiques de Toulouse, UPS, 118 route de Narbonne, 31062 Toulouse, France

Annales de la faculté des sciences de Toulouse Mathématiques (2013)

  • Volume: 22, Issue: 2, page 219-251
  • ISSN: 0240-2963

Abstract

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For the groups G U ( 3 ) , S U ( 3 ) , G L ( 3 ) , S U ( 3 ) over a finite field we solve the class product problem, i.e., we give a complete list of m -tuples of conjugacy classes whose product does not contain the identity matrix.

How to cite

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Orevkov, S.Yu.. "Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$." Annales de la faculté des sciences de Toulouse Mathématiques 22.2 (2013): 219-251. <http://eudml.org/doc/275293>.

@article{Orevkov2013,
abstract = {For the groups $GU(3)$, $SU(3)$, $GL(3)$, $SU(3)$ over a finite field we solve the class product problem, i.e., we give a complete list of $m$-tuples of conjugacy classes whose product does not contain the identity matrix.},
affiliation = {Institut des Mathématiques de Toulouse, UPS, 118 route de Narbonne, 31062 Toulouse, France},
author = {Orevkov, S.Yu.},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {class product problem; products of conjugacy classes; finite unitary groups; finite fields},
language = {eng},
month = {6},
number = {2},
pages = {219-251},
publisher = {Université Paul Sabatier, Toulouse},
title = {Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$},
url = {http://eudml.org/doc/275293},
volume = {22},
year = {2013},
}

TY - JOUR
AU - Orevkov, S.Yu.
TI - Products of conjugacy classes in finite unitary groups $GU(3,q^2)$ and $SU(3,q^2)$
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2013/6//
PB - Université Paul Sabatier, Toulouse
VL - 22
IS - 2
SP - 219
EP - 251
AB - For the groups $GU(3)$, $SU(3)$, $GL(3)$, $SU(3)$ over a finite field we solve the class product problem, i.e., we give a complete list of $m$-tuples of conjugacy classes whose product does not contain the identity matrix.
LA - eng
KW - class product problem; products of conjugacy classes; finite unitary groups; finite fields
UR - http://eudml.org/doc/275293
ER -

References

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  14. Orevkov (S. Yu.).— Quasipositivity test via unitary representations of braid groups and its applications to real algebraic curves, J. of Knot Theory and Ramifications, 10, p. 1005-1023 (2001). Zbl1030.20026MR1867106
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