Problem Session at ALCOM-91
Problem Session at ALCOM-91
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DOI：
10.1006/eujc.1994.1013
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
A. Ivanov;C. Praeger
中科院分区：
文献类型：
--
作者：
A. Ivanov;C. Praeger
摘要本文介绍了1991年8月6日至17日在俄罗斯弗拉基米尔举行的代数组合学国际研讨会（ALCOM-91）特别会议上提出的问题。这些问题按主题分为4个部分：关联方案、几何、图和计算理论。在会议上提出的问题中，我们接L.巴巴伊提出的一个问题，这个问题与L.派伯提出的问题密切相关。会议上提出了一个关于波浪几何的普遍自然表征维度的问题，这个问题与赫尔德的小组有关。研讨会结束后不久，其中一位与会者B. D. McKay回答了这个问题，他用计算机确定了一个由437,325个方程、29,155个变量组成的系统的GF(2)- ank。普遍表征的维度，等于这个角，结果是52。51维的几何表示以前是已知的。
Abstract We present the problems posed at the special session of the International Workshop on Algebraic Combinatorics (ALCOM-91), held in Vladimir, Russia, on 6-17 August 1991. The problems are arranged into 4 sections by their subjects: association schemes, geometries, graphs and the theory of computation. To the problems posed at the session we adjoin a problem by L. Babai that is closely related to the problem formulated by L. Pyber. A question about the dimension of the universal natural representation of the tilde geometry associated with Held's group was posed at the session. Soon after the workshop the question was answered by one of the participants, namely B. D. McKay, who determined by computer the GF(2)-corank of a system of 437,325 equations over 29,155 variables. The dimension of the universal representation, equal to this corank, turned out to be 52. A 51-dimensional representation of the geometry was known previously [10].