Black box groups isomorphic to \rm PGL(2,2^e)

2013/09/15 by W. M. Kantor, Kantor, W. M., M. Kassabov +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1309.3715

To appear in J. Algebra

arxiv created 2014/03/29 · arxiv updated 2014/04/01

Abstract

A deterministic polynomial-time algorithm constructs an isomorphism between \rm PGL(2,2^e) and a black box group to which it is isomorphic.

Related

• Fifty shades of black
• Black box exceptional groups of Lie type
• Black Box White Arrow
• A presentation of PGL(2,Q)
• Construction of some subgroups in black box groups \rm PGL₂(q) and \rm(P)SL₂(q)