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The Product of a Finite Group and a Cyclic Group

于浩 Hao Yu

Captial Normal University (首都师范大学)

Time: 16:00-18:00 (GMT+8), Wednesday September 13th, 2023
Location: Zoom

Abstract: Let \(X(G)=GC\) be an exact group factorization of \(X(G)\), where \(G\) is a group and \(C\) is a cyclic group. Recently, \(X(G)\) are characterized if \(G\) is either a generalized quaternion group or a dihedral group. In particular, \(X(G)\) is called a skew product group of \(G\) if \(C\) is core-free. Skew product groups of generalized quaternion groups, dihedral groups and maximal class \(2\)-group are classified. This is a joint work with Shaofei Du and Wenjuan Luo.

Host: 黄弘毅 Hong Yi Huang