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Tag Archives: group theory
How to get GAP4 to describe a group
This is a command that’s tough to Google even if you know it exists. To get GAP to describe a group with a common, human-readable name, you can use the StructureDescription command, as follows: gap> StructureDescription(Group([(1,3), (1,2,3,4)])); “D8” gap> StructureDescription(Group([(1,3), … Continue reading
An obvious statement which surprised me when I read it
From Baumslag’s “Topics in Combinatorial Group Theory,” chapter V, Exercises 2(3)(iv): is of order e > 2 if, and only if, for some primitive e-th root of unity . There’s really nothing to this statement — just put the matrix … Continue reading
Daniel McLaury's Mathematical Diary 