Linear representation theory of Burnside group:B(3,3)

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This article gives specific information, namely, linear representation theory, about a particular group, namely: Burnside group:B(3,3).
View linear representation theory of particular groups | View other specific information about Burnside group:B(3,3)

Summary

Item Value
degrees of irreducible representations over a splitting field (such as \overline{\mathbb{Q}} or \mathbb{C}) 1 (occurs 27 times), 3 (occurs 78 times), 27 (occurs 2 times)
maximum: 27, lcm: 27, number: 107, sum of squares: 2187


GAP implementation

Degrees of irreducible representations

The degrees of irreducible representations can be determined using the CharacterDegrees function:

gap> CharacterDegrees(SmallGroup(2187,4487));
[ [ 1, 27 ], [ 3, 78 ], [ 27, 2 ] ]