English

Construction of some subgroups in black box groups ${\rm {PGL}}_2(q)$ and ${\rm{(P)SL}}_2(q)$

Group Theory 2014-03-11 v1

Abstract

For the black box groups XX encrypting PGL2(q){\rm{PGL}}_2(q), qq odd, we propose an algorithm constructing a subgroup encrypting Sym4{\rm{Sym}}_4 and subfield subgroups of XX. We also present the analogous algorithms for black box groups encrypting (P)SL2(q){\rm{(P)SL}}_2(q).

Keywords

Cite

@article{arxiv.1403.2224,
  title  = {Construction of some subgroups in black box groups ${\rm {PGL}}_2(q)$ and ${\rm{(P)SL}}_2(q)$},
  author = {Alexandre Borovik and Şükrü Yalçınkaya},
  journal= {arXiv preprint arXiv:1403.2224},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1302.3059