The GAP Character Table Library
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Using Table Automorphisms for Constructing Character Tables in GAP
This note has three aims. First it shows how character table automorphisms can be utilized to construct certain character tables from others using the GAP system [GAP04]; the GAP functions used for that are part of the GAP Character Table Library [Bre04b]. Second it documents several constructions of character tables which are contained in the GAP Character Table Library. Third it serves as a t...
متن کاملConstructing Character Tables of Central Extensions in GAP
This note has three aims. First it shows how the GAP system [GAP04] can be utilized to construct character tables of certain central extensions from known character tables; the GAP functions used for that are part of the GAP Character Table Library [Bre04]. Second it documents several constructions of character tables which are contained in the GAP Character Table Library. Third it serves as a ...
متن کاملConstructing the Irreducible Characters of J4 with GAP
We assume that the “table head” of the ordinary character table of the sporadic simple Janko group J4 is known. That is, the conjugacy classes and their centralizer orders are known as well as all p-th power maps, for primes p up to the maximal element order in J4, which is 66. For the sake of simplicity, we take the table head of the character table contained in the GAP Character Table Library...
متن کاملAmbiguous Class Fusions in the GAP Character Table Library
This is a collection of examples showing how class fusions between character tables can be determined using the GAP system [GAP04]. In each of these examples, the fusion is ambiguous in the sense that the character tables do not determine it up to table automorphisms. Our strategy is to compute first all possibilities with the GAP function PossibleClassFusions, and then to use either other char...
متن کاملComputational determination of character table and symmetry of fullerenes cage as C24 and C28
Fullerene chemistry is nowadays a well-established field of both theoretical and experimental investigations. This study considers the symmetry of small fullerenes cage C24 and C28. Using PM3 program for C24 and C28 fullerenes, Oh and Td symmetry were confirmed, respectively. The mentioned algorithm to compute the automorphism group of these fullerenes with connectivity and geometry of th...
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