منابع مشابه
Finding Possible Permutation Characters
We describe three different methods to compute all those characters of a finite group that have certain properties of transitive permutation characters. First, a combinatorial approach can be used to enumerate vectors of multiplicities. Secondly, these characters can be found as certain integral solutions of a system of inequalities. Thirdly, they are calculated via Gaussian elimination. The me...
متن کاملCharacters of finite quasigroups VII: permutation characters
Each homogeneous space of a quasigroup affords a representation of the BoseMesner algebra of the association scheme given by the action of the multiplication group. The homogeneous space is said to be faithful if the corresponding representation of the Bose-Mesner algebra is faithful. In the group case, this definition agrees with the usual concept of faithfulness for transitive permutation rep...
متن کاملMultiplicity-Free Permutation Characters in GAP
This note shows a few examples of GAP computations concerning multiplicity-free permutation characters, with an emphasis on the classification of the faithful multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups given in [BL96]. For examples on GAP computations with permutation characters in general, see the note [Bre]. For further questions about...
متن کاملRank 3 Permutation Characters and Maximal Subgroups
Let G be a transitive permutation group acting on a finite set E and let P be the stabilizer in G of a point in E. We say that G is primitive rank 3 on E if P is maximal in G and P has exactly three orbits on E. For any subgroup H of G, we denote by 1H the permutation character (or permutation module) over C of G on the cosets G/H. Let H and K be subgroups of G. We say 1H 6 1 G K if 1 G K − 1 G...
متن کاملGroup characters, permutation actions and sharpness
We extend the work which has appeared in papers on sharp characters and originated with Blichfeldt and Maillet to the Burnside ring of a finite group G. We show that the polynomial whose zeros are the set of marks of non-identity subgroups on a faithful G-set X evaluated at X is an integral multiple of the regular G-set, and deduce a result about the size of a base of X . Further consequences f...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1998
ISSN: 0747-7171
DOI: 10.1006/jsco.1998.0217