报告主题：有限群简直定集

报告人：王登银 教授 （中国矿业大学）

报告时间：2018年 5月26日（周六）9:30

报告所在：校本部G507

约请人：郭秀云

主理部分：理学院数学系

报告摘要：Let G be a group> a subset D of G is a determing set of G if every automorphism of G is uniquely determined by its action on D. The determing number of G, denoted by $\alpha(G)$, is the cardinality of a smallest set. A generating set of G is a subset such that every element of G can be expressed as the combination, under the group operation, of finitely many elements of the subset aned their inverses. The cardination of a smallest generating set of G, denote by $\gammea(G)$, is called the generating number of G. a group G is called a DEG_group if $\alpha(G)= \gammea(G)$.

We are going to discuss the determing number of and the generating number of a finite group G, and we also investigate the structure of DEG_groups.

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