Some results on the recognizability of the linear groups over the binary field

Mohammad Reza Darafsheh; Yaghoub Farjami; M. Khademi; Ali Reza Moghaddamfar

Commentationes Mathematicae Universitatis Carolinae (2005)

  • Volume: 46, Issue: 4, page 589-600
  • ISSN: 0010-2628

Abstract

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In this paper, we first find the set of orders of all elements in some special linear groups over the binary field. Then, we will prove the characterizability of the special linear group PSL ( 13 , 2 ) using only the set of its element orders.

How to cite

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Darafsheh, Mohammad Reza, et al. "Some results on the recognizability of the linear groups over the binary field." Commentationes Mathematicae Universitatis Carolinae 46.4 (2005): 589-600. <http://eudml.org/doc/249517>.

@article{Darafsheh2005,
abstract = {In this paper, we first find the set of orders of all elements in some special linear groups over the binary field. Then, we will prove the characterizability of the special linear group $\operatorname\{PSL\}(13,2)$ using only the set of its element orders.},
author = {Darafsheh, Mohammad Reza, Farjami, Yaghoub, Khademi, M., Moghaddamfar, Ali Reza},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {element order; prime graph; projective special linear group; sets of element orders; prime graphs; projective special linear groups; recognizable groups},
language = {eng},
number = {4},
pages = {589-600},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some results on the recognizability of the linear groups over the binary field},
url = {http://eudml.org/doc/249517},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Darafsheh, Mohammad Reza
AU - Farjami, Yaghoub
AU - Khademi, M.
AU - Moghaddamfar, Ali Reza
TI - Some results on the recognizability of the linear groups over the binary field
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 4
SP - 589
EP - 600
AB - In this paper, we first find the set of orders of all elements in some special linear groups over the binary field. Then, we will prove the characterizability of the special linear group $\operatorname{PSL}(13,2)$ using only the set of its element orders.
LA - eng
KW - element order; prime graph; projective special linear group; sets of element orders; prime graphs; projective special linear groups; recognizable groups
UR - http://eudml.org/doc/249517
ER -

References

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