Notes on a semigroup related to the dicyclic group Qn
نویسندگان
چکیده
We consider certain properties of the semigroup S defined by the presentation S = 〈a, b : a n−1 = 1, b = a n−2 , ba = ab n−1−1〉, (n ≥ 3).
منابع مشابه
Multiple Holomorphs of Dihedral and Quaternionic Groups
The holomorph of a group G is NormB(λ(G)), the normalizer of the left regular representation λ(G) in its group of permutations B = Perm(G). The multiple holomorph of G is the normalizer of the holomorph in B. The multiple holomorph and its quotient by the holomorph encodes a great deal of information about the holomorph itself and about the group λ(G) and its conjugates within the holomorph. We...
متن کاملAmenability and Weak Amenability of the Semigroup Algebra l^1 (〖 S〗_T )
Let S be a semigroup with a left multiplier on S. A new product on S is defined by related to S and such that S and the new semigroup ST have the same underlying set as S. It is shown that if is injective then where, is the extension of on Also, we show that if is bijective then is amenable if and only if is so. Moreover, if S completely regular, then is weakly amenable.
متن کاملThe universal $mathcal{AIR}$- compactification of a semigroup
In this paper we establish a characterization of abelian compact Hausdorff semigroups with unique idempotent and ideal retraction property. We also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.
متن کاملOn the Graphs Related to Green Relations of Finite Semigroups
In this paper we develop an analog of the notion of the con- jugacy graph of nite groups for the nite semigroups by considering the Green relations of a nite semigroup. More precisely, by de ning the new graphs $Gamma_{L}(S)$, $Gamma_{H}(S)$, $Gamma_{J}(S)$ and $Gamma_{D}(S)$ (we name them the Green graphs) related to the Green relations L R J H and D of a nite semigroup S , we first atte...
متن کاملGrouplikes
In this paper we introduce and study an algebraic structure, namely Grouplike. A grouplike is something between semigroup and group and its axioms are generalizations of the four group axioms. Every grouplike is a semigroup containing the minimum ideal that is also a maximal subgroup (but the converse is not valid). The first idea of grouplikes comes from b-parts and $b$-addition of real number...
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 2017