Using Table Automorphisms for Constructing Character Tables in GAP
نویسنده
چکیده
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 testfile for the involved GAP functions.
منابع مشابه
Ambiguous 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 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 کاملFinite groups with the same character tables , Drinfel ’ d algebras and Galois algebras
We prove that finite groups have the same complex character tables iff the group algebras are twisted forms of each other as Drinfel'd quasi-bialgebras or iff there is non-associative bi-Galois algebra over these groups. The interpretations of class-preserving automorphisms and permutation representations with the same character in terms of Drinfel'd algebras are also given.
متن کاملRATIONAL CHARACTER TABLE OF SOME FINITE GROUPS
The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...
متن کاملOn the non-split extension group $2^{6}{^{cdot}}Sp(6,2)$
In this paper we first construct the non-split extension $overline{G}= 2^{6} {^{cdot}}Sp(6,2)$ as a permutation group acting on 128 points. We then determine the conjugacy classes using the coset analysis technique, inertia factor groups and Fischer matrices, which are required for the computations of the character table of $overline{G}$ by means of Clifford-Fischer Theory. There are two inerti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004