The derived group of a permutation representation
نویسندگان
چکیده
منابع مشابه
THE DERIVED GROUP OF A SEIFERT FIBRE GROUP
Every Seifert Fibre Group is the lift of a Fuchsian group to the universal covering group of PSL (2,R). From this, we work out a form of presentation for such a group. With the calculation of the Euler number, we can establish the presentation of the derived group of a Seifert Fibre Group
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The Polynomial of a Permutation Representation*
Let (G, D) be a permutation representation of a finite group G acting on a finite set D. The cycle index of this representation is a polynomial P(G, D; Xl ,..., x,~) in several variables xl ,..., x~ with rational numbers as coefficients (see [1]). The restriction, made in [1], that the representation (G, D) is faithful, is unnecessary and we put no restriction on (G, D) whatsoever. We replace e...
متن کاملThe remoteness of the permutation code of the group $U_{6n}$
Recently, a new parameter of a code, referred to as the remoteness, has been introduced.This parameter can be viewed as a dual to the covering radius. It is exactly determined for the cyclic and dihedral groups. In this paper, we consider the group $U_{6n}$ as a subgroup of $S_{2n+3}$ and obtain its remoteness. We show that the remoteness of the permutation code $U_{6n}$ is $2n+2$. Moreover, ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1984
ISSN: 0001-8708
DOI: 10.1016/0001-8708(84)90020-3