On product-one sequences over subsets of groups
نویسندگان
چکیده
Abstract Let G be a group and $$G_0 \subseteq G$$ G 0 ⊆ subset. A sequence over $$G_0$$ means finite of terms from , where the order elements is disregarded repetition allowed. product-one whose can ordered such that their product equals identity element group. We study algebraic arithmetic properties monoids sequences subsets whole with special emphasis on infinite dihedral
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.
متن کاملProduct - Free Subsets of Groups , Then and Now
Citation Kedlaya, Kiran S. "Product-free subsets of groups, then and now. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Dedicated to Joe Gallian on his 65th birt...
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...
متن کاملOn the Exponent of Triple Tensor Product of p-Groups
The non-abelian tensor product of groups which has its origins in algebraic K-theory as well as inhomotopy theory, was introduced by Brown and Loday in 1987. Group theoretical aspects of non-abelian tensor products have been studied extensively. In particular, some studies focused on the relationship between the exponent of a group and exponent of its tensor square. On the other hand, com...
متن کاملrational subsets of finite groups
we characterize the rational subsets of a finite group and discuss the relations to integral cayley graphs.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Periodica Mathematica Hungarica
سال: 2022
ISSN: ['0031-5303', '1588-2829']
DOI: https://doi.org/10.1007/s10998-022-00483-5