Black box exceptional groups of Lie type II

被引：5

作者：

Kantor, William M. ^{[1
,2
]}

Magaard, Kay ^{[3
]}

机构：

[1] Univ Oregon, Eugene, OR 97403 USA

[2] Northeastern Univ, Boston, MA 02115 USA

[3] Univ Birmingham, Birmingham B15 2TT, W Midlands, England

来源：

JOURNAL OF ALGEBRA | 2015年 / 421卷

关键词：

Black box groups; Exceptional simple groups; FAST CONSTRUCTIVE RECOGNITION; CLASSICAL-GROUPS; PROBABILITY; ELEMENT;

D O I：

10.1016/j.jalgebra.2014.09.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If a black box group G is known to be isomorphic to an exceptional simple group (G) over cap of Lie type of (twisted) rank >1, other than any F-2(4)(2(e)) or D-3(4)(2(e)), over a field of known size q, and if suitable SL 2 and Discrete Log oracles are available when q is odd, then a polynomial-time Las Vegas algorithm is given that produces a constructive isomorphism between (G) over cap and G. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：524 / 540

页数：17

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