[PDF] Top 20 Finite groups are big as semigroups
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Finite groups are big as semigroups
... a finite group G occurs as a maximal proper subsemigroup of an infinite semigroup (in the terminology of Freese, Jeˇ zek and Nation, G is a big semigroup) if and only if |G| ≥ ...any finite semigroup ... See full document
10
Groups and semigroups with a one counter word problem
... the groups with regular word problems are precisely the finite ...to semigroups and, for completeness, we include a proof of this fact here (see Proposition ...of groups with more than one ... See full document
14
Finitely generated left ideals in Banach algebras on groups and semigroups
... Proof. (i) Assume towards contradiction that I is a finitely-generated, closed, maximal left ideal in A. The algebra A has a proper, dense left ideal B .Then, by Lemma 2.3, B ∩ I is dense in I, so that, by Lemma 2.1, we ... See full document
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Pseudo Differential Operators and Markov Semigroups on Compact Lie Groups
... defining the symbol σ of a pseudo differential operator to be a suitable map- ping defined on G × G b (where G b is the set of all irreducible representations of G modulo unitary equivalence) and utilising the Fourier ... See full document
33
Potentially right simple π-regular semigroups are right groups
... The notion “simplicity” may be generalized to “potential simplicity”. It is well-known that any right simple semigroup (a semigroup having only one right ideal) containing an idempotent, is a right group, i.e. it is ... See full document
6
On residually finite semigroups of cellullar automata
... a finite object is an object whose underlying set is ...of groups, the category of rings, the category of compact Hausdorff spaces, ...residually finite if, given any two distinct elements x 1 , x 2 ∈ ... See full document
7
Permutation groups and transformation semigroups : results and problems
... of finite semigroups with group of ...of semigroups are interesting enough to keep many mathematicians busy their entire lives; in fact a unique family of finite semigroups, the ... See full document
15
Banach algebras on groups and semigroups
... In some situations, however, it seems that in order to get interesting examples and capture interesting properties of the underlying group or Banach space, it is better to consider topological finite-generation in ... See full document
171
Counting subwords and other results related to the generalised star height problem for regular languages
... zero-matrix semigroups and begin a classification of the languages that are recognised by finite ...of finite semigroups are the finite 0-simple semigroups and the zero ... See full document
102
Two variants of the froidure pin algorithm for finite semigroups
... The Froidure-Pin Algorithm involves determining all of the elements of the semigroup hAi and storing them in the memory of the computer. In certain circumstances, it is possible to fully determine the structure of hAi ... See full document
18
Cayley automaton semigroups
... the semigroups constructed from them, which will form the foundation for the remainder of the ...a finite non-trivial group G, Σ(C (G)) is free) and by Mintz (Theorem ...a finite semigroup S, Σ(C(S)) ... See full document
181
Primitive left ample semigroups
... ample semigroups form a special class of left abundant ...regular semigroups are left abundant semigroups and so are many other types of semigroups including right cancellative ...Inverse ... See full document
9
On a question of Külshammer for representations of finite groups in reductive groups
... Let k be an algebraically closed field and let Γ be a finite group. By a representation of Γ in a linear algebraic group H over k, we mean a group homomorphism from Γ to H. We denote by Hom(Γ, H) the set of ... See full document
6
Idempotents, nilpotents, rank and order in finite transformation semigroups
... For a subset A of an inverse semigroup S, the inverse subsemigroup (A) generated by A is the smallest inverse subsemigroup of S containing A. It consists of all finite products of elements of A and their inverses. ... See full document
145
Remarks on embeddable semigroups in groups and a generalization of some Cuthbert's results
... study semigroups which are near the identity in the sense that there exists t 0 > 0 such that U(t 0 ) −I ∈ (X), where (X) is an arbitrary closed two-sided ideal contained in the set of Fredholm ... See full document
11
Algorithms for polycyclic by finite groups
... polycyclic-by-finite groups has been in- vestigated in the theoretical context by Baumslag et ...polycyclic-by-finite groups from a prac- tical perspective, detailing algorithms which lend ... See full document
23
Generation problems for finite groups
... of groups that do and do not have property B we sought to high- light how rare groups with property B ...dihedral groups, showing that all dihedral groups of order 2p n have prop- erty B, for ... See full document
110
On excess in finite Coxeter groups
... This paper is arranged as follows. Our next section gathers together relevant background material while reviewing much of the standard notation used for Coxeter groups. Theorems 1.1 and 1.2 are established in ... See full document
16
Symmetric generation of finite groups
... CHAPTER TWO: SYMMETRIC REPRESENTATION OF L 2(ll) ELEMENTS Introduction ... 25[r] ... See full document
255
Computing automorphism groups and isomorphism testing in finite groups
... for finite groups which match some specific ...a finite group G using the automorphism group of the soluble radical R = O ∞ (G) (recall Definition ... See full document
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