@article{Liebeck:2015:tran/6534,
author = {Liebeck, MW and O'Brien, EA},
doi = {tran/6534},
journal = {Transactions of the American Mathematical Society},
pages = {6189--6226},
title = {Recognition of finite exceptional groups of Lie type},
url = {http://dx.doi.org/10.1090/tran/6534},
volume = {368},
year = {2015}
}

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TY  - JOUR
AB  - Let q be a prime power and let G be an absolutely irreducible subgroup ofGLd(F), where F is a finite field of the same characteristic as Fq, the field of q elements. Assume that G ∼= G(q), a quasisimple group of exceptional Lie type over Fq which is neither a Suzuki nor a Ree group. We present a Las Vegas algorithm that constructs an isomorphism from G to the standard copy of G(q). If G 6∼=3D4(q) with q even, then the algorithm runs in polynomial time, subject to the existence of a discrete log oracle.
AU  - Liebeck,MW
AU  - O'Brien,EA
DO  - tran/6534
EP  - 6226
PY  - 2015///
SN  - 1088-6850
SP  - 6189
TI  - Recognition of finite exceptional groups of Lie type
T2  - Transactions of the American Mathematical Society
UR  - http://dx.doi.org/10.1090/tran/6534
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000370726100006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/30987
VL  - 368
ER  - 

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