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2016•arXiv (Cornell University)Open access

Constructing the ordinary character tables of some Atlas groups using\n character theoretic methods

Thomas Breuer

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Abstract

We compute the character tables of the following groups with character\ntheoretic methods, using known information about the conjugacy classes and\nabout the character tables of some subgroups and factor groups: $Th$, $J_4$,\n$2.{}^2E_6(2)$, $2.{}^2E_6(2).2$, and $2.B$.\n

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We compute the character tables of the following groups with character\ntheoretic methods, using known information about the conjugacy classes and\nabout the character tables of some subgroups and factor groups: $Th$, $J_4$,\n$2.{}^2E_6(2)$, $2.{}^2E_6(2).2$, and $2.B$.\n

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Available abstract

We compute the character tables of the following groups with character\ntheoretic methods, using known information about the conjugacy classes and\nabout the character tables of some subgroups and factor groups: $Th$, $J_4$,\n$2.{}^2E_6(2)$, $2.{}^2E_6(2).2$, and $2.B$.\n

Key concepts: Character table, Character (mathematics), Conjugacy class, Mathematics, Group (periodic table), Atlas (anatomy), Combinatorics, Physics

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