Mathematical Sciences: DIMACS Workshop on Groups and Computation; New Brunswick, NJ

计算群论是一个跨学科的领域，涉及使用群体来解决计算机科学和数学中的问题。至少有三个团体对这一领域产生了强烈的影响：(1)理论计算机科学团体，通过研究群计算的复杂性及其与组合同构或搜索问题的复杂性的联系；(2)符号代数/计算机代数社区，他们建立了大型集成软件包，并开发了用于群理论计算的CPU高效算法；(3)群论界通过对群的结构，特别是有限简单群的分类的不断理解而取得进展。这个项目将支持将于1991年10月7日至10日在罗格斯大学举行的DIMACS（离散数学和计算机科学中心）分组和计算研讨会。计算群论的研究目前出现在数学和计算机科学的各种论坛上。这反映了群作为具有广泛适用性的基本数学对象的作用。本次研讨会将汇集理论计算机科学、计算机代数和群论方面的研究人员，讨论串行和并行计算机体系结构的群论算法。

Computational group theory is an interdisciplinary field which involves the use of groups to solve problems in computer science and mathematics. At least three communities have strongly influenced this field: (1) the theoretical computer science community through studies of the complexity of computation with groups and their connections with the complexity of combinatorial isomorphism or search problems; (2) the symbolic algebra/computer algebra communities, which have built large integrated software packages and have developed CPU efficient algorithms for group theoretic computations; and (3) the group theory community through continued progress on understanding the structure of groups, most notably the classification of finite simple groups. This project will support the DIMACS (Center for Discrete Mathematics and Computer Science) Workshop on Groups and Computation to be held October 7-10, 1991 at Rutgers University. Research on computational group theory currently appears in diverse forums in both mathematics and computer science. This reflects the role of groups as fundamental mathematical objects with a wide range of applicability. This workshop will bring together researchers in theoretical computer science, computer algebra, and group theory to discuss group-theoretic algorithms for both serial and parallel computer architectures.