(2,3)-generation of the groups PSL6(q)

Tabakov, K.; Tchakerian, K.

Serdica Mathematical Journal (2011)

  • Volume: 37, Issue: 4, page 365-370
  • ISSN: 1310-6600

Abstract

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2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).

How to cite

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Tabakov, K., and Tchakerian, K.. "(2,3)-generation of the groups PSL6(q)." Serdica Mathematical Journal 37.4 (2011): 365-370. <http://eudml.org/doc/281574>.

@article{Tabakov2011,
abstract = {2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).},
author = {Tabakov, K., Tchakerian, K.},
journal = {Serdica Mathematical Journal},
keywords = {(2,3)-generated group; -generated groups; projective special linear groups},
language = {eng},
number = {4},
pages = {365-370},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {(2,3)-generation of the groups PSL6(q)},
url = {http://eudml.org/doc/281574},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Tabakov, K.
AU - Tchakerian, K.
TI - (2,3)-generation of the groups PSL6(q)
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 4
SP - 365
EP - 370
AB - 2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).
LA - eng
KW - (2,3)-generated group; -generated groups; projective special linear groups
UR - http://eudml.org/doc/281574
ER -

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