Computing character tables of groups of type M.G.A
نویسندگان
چکیده
منابع مشابه
Character Tables of Metacyclic Groups
We show that two metacyclic groups of the following types are isomorphic if they have the same character tables: (i) split metacyclic groups, (ii) the metacyclic p-groups and (iii) the metacyclic {p, q}-groups, where p, q are odd primes. 2010 Mathematics Subject Classification. Primary 20C15; Secondary 20D15, 20F16, 20F22.
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We generalize a well-known result on the determinant of the character tables of finite symmetric groups. It is a well-known fact that ifXn is the character table of the symmetric group Sn, then the absolute value of the determinant of Xn equals an, which is defined as the product of all parts of all partitions of n. It also equals bn, which is defined as the product of all factorials of all mul...
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To classify the finite dimensional pointed Hopf algebras with Weyl group G of E6, E7, F4, G2, we obtain the representatives of conjugacy classes of G and all character tables of centralizers of these representatives by means of software GAP. 2000 Mathematics Subject Classification: 16W30, 68M07 keywords: GAP, Hopf algebra, Weyl group, character.
متن کاملThe Character Tables of Centralizers in Weyl Groups
To classify the finite dimensional pointed Hopf algebras with Weyl group G of E6, E7, F4, G2, we obtain the representatives of conjugacy classes of G and all character tables of centralizers of these representatives by means of software GAP. 2000 Mathematics Subject Classification: 16W30, 68M07 keywords: GAP, Hopf algebra, Weyl group, character.
متن کاملLabelling the character tables of symmetric and alternating groups
Let X be a character table of the symmetric group Sn. It is shown that unless n = 4 or n = 6, there is a unique way to assign partitions of n to the rows and columns of X so that for all λ and ν, Xλν is equal to χ(ν), the value of the irreducible character of Sn labelled by λ on elements of cycle type ν. Analogous results are proved for alternating groups, and for the Brauer character tables of...
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2011
ISSN: 1461-1570
DOI: 10.1112/s1461157010000318