A new graph over semi-direct products of groups
نویسندگان
چکیده
منابع مشابه
A tensor product approach to the abstract partial fourier transforms over semi-direct product groups
In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.
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Let Γ be a finite simple graph with vertex set V , so the edges may be taken to be unordered pairs of distinct elements of V . Assume that, for every v ∈ V , there is assigned a group Gv. The graph product GΓ is the quotient of the free product ∗v∈V Gv by the normal subgroup generated by all [Gu,Gv] for which {u,v} is an edge. (As usual, [Gu,Gv] means the subgroup generated by { x−1y−1xy | x ∈ ...
متن کاملabstract structure of partial function $*$-algebras over semi-direct product of locally compact groups
this article presents a unified approach to the abstract notions of partial convolution and involution in $l^p$-function spaces over semi-direct product of locally compact groups. let $h$ and $k$ be locally compact groups and $tau:hto aut(k)$ be a continuous homomorphism. let $g_tau=hltimes_tau k$ be the semi-direct product of $h$ and $k$ with respect to $tau$. we define left and right $tau$-c...
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ژورنال
عنوان ژورنال: Filomat
سال: 2016
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1603611t