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

计算群论是一个跨学科的领域 这涉及到使用群体来解决计算机问题， 科学和数学。 至少有三个社区 对这一领域产生重大影响的有：（1）理论计算机 科学界通过研究的复杂性 群计算及其与复杂性的关系 组合同构或搜索问题;（2）符号 代数/计算机代数社区，已经建立了大型的 集成的软件包，并开发了CPU效率 群论计算的算法;（3）群 理论界通过不断的进步， 群的结构，特别是有限群的分类 简单的群体。 该项目将支持DIMACS（离散中心） 数学和计算机科学）小组和 计算将于1991年10月7日至10日在罗格斯大学举行。 计算群论的研究目前出现在 在数学和计算机科学的不同论坛。 这 反映了群作为基本数学对象的作用 具有广泛的适用性。 本次研讨会将带来 理论计算机科学、计算机科学、 代数和群论来讨论群论算法 用于串行和并行计算机体系结构。

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.