Black-box recognition of finite simple groups of Lie type by statistics of element orders
Author:
Publisher
Walter de Gruyter GmbH
Subject
Algebra and Number Theory
Link
https://www.degruyter.com/view/j/jgth.2002.5.issue-4/jgth.2002.010/jgth.2002.010.pdf
Reference27 articles.
1. C. Altseimer and A. V. Borovik.Probabilistic recognition of orthogonal and symplectic groups. In Groups and computation III (Columbus, 1999), Ohio State Univ. Math. Res. Inst. Publ. 8 (de Gruyter, 2001), pp. 1-20.
2. The orders of the classical simple groups
3. L. Babai.Local expansion of vertex-transitive graphs and random generation in finite groups. In Proc. 23rd Symposium on the theory of computing (New Orleans, 1991), pp. 164-174.
4. L. Babai.Randomization in group algorithms: conceptual questions. In Groups and computation II (New Brunswick, 1995), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 28 (American Mathematical Society, 1997), pp. 1-17.
5. L. Babai and R. Beals. A polynomial-time theory of black-box groups I. In Groups St Andrews 1997 in Bath, I, London Math. Soc. Lecture Note Ser. 260 (Cambridge University Press, 1999), pp. 30-64.
Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Constructing composition factors for a linear group in polynomial time;Journal of Algebra;2020-11
2. The graph of atomic divisors and recognition of finite simple groups;Journal of Algebra;2019-11
3. Recognition of finite exceptional groups of Lie type;Transactions of the American Mathematical Society;2015-12-02
4. Constructing All Composition Series of a Finite Group;Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation;2015-06-24
5. A practical model for computation with matrix groups;Journal of Symbolic Computation;2015-05
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3