wreath products
Symmetric groups, wreath products, Morita equivalences, and Broue's abelian defect group conjecture
... We show that this conjecture is true for a family of blocks of symmetric groups; this family is given by a certain combinatorial criterion and contains blocks whose defect groups have arbitrarily large rank (as long as ...
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Some properties of wreath products and their generalisation
... generalised wreath products A wr^ B and A ^T^ B are considered and it is shown that some (but not all) of the properties of wreath products stated in Chapter 1 do carry over to generalised ...
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New Properties over a New Type of Wreath Products on Monoids
... left or right inverse semigroup if and only if A has the same property. In the reference [1], the necessary and sufficient conditions for the new derivation of wreath products to be regular have been ...
8
Two problems on varieties of groups generated by wreath products
... 2.1. Varieties of groups, their products, and wreath products. A variety of groups is a nonempty class of groups closed under homomorphic images, subgroups, and Cartesian products. By ...
11
Infinitely iterated wreath products of metric spaces
... It is a well-known problem for a given permutation group (G, X) to find or just to prove the existence of a discrete structure X (e.g., graph, metric space, ordered set, etc.) such that its automorphism group Aut(X) is ...
15
Character theory of infinite wreath products
... infinite wreath products is that their finite characters can be described as limits of normalized irreducible characters of the prelimit groups which is sometimes called the “asymptotic character ...of ...
15
Some applications of wreath products of groups
... s wreath product d i f f e r s froni t-;at used in Part I , The reason is that here we are concerned with standard wreath products only f o r which the notationi G wr H and G ^vr^E are more common ...
141
Representations of wreath products of algebras
... After intorducting some notation in section 2 we introduce the wreath product and the basic construction of modules in section 3. Then the main results on filtrations are obtained in section 4. The next two ...
25
Fully invariant subgroups of an infinitely iterated wreath product
... The normalizer condition for the direct limits of finite standard wreath products (so called Kargapolov groups) was studied in [13] by Yu. I. Merzlyakov. Also in [14] a criterion of self normalizability for ...
9
A geometrical interpretation of infinite wreath powers
... In Section 4 we compare these two constructions and point out a few other results in [4, 5, 7] the proofs of which could be realized without infinite wreath products by means of the suggested geometrical ...
18
Combinatorics of partial wreath power of finite inverse symmetric semigroup \(\mathcal{IS}_d\)
... The wreath product of semigroups has appeared as a generalization to semigroups of the corresponding construction for ...formation wreath product of transformation semigroups has appeared as a natural ...
12
Conjugacy in finite state wreath powers of finite permutation groups
... The most natural way to introduce finite state automorphisms uses automata theory. But regarding our purposes we choose a language of infinite wreath products. The full automorphism group of m-regular ...
12
Embeddings into Thompson's group V and coCF groups
... It is known that V contains many embedded copies of non-abelian free groups, and indeed, many free products of its subgroups. In the paper [6], the authors give some more specific results. They find conditions ...
15
Free semigroups in wreath powers of transformation semigroups
... of wreath products of permutation groups are rich of free subgroups ([1], ...of wreath products of transformation semigroups is not true in general as this inverse limit do not certainly ...
11
Some aspects of nilpotent groups
... In this chapter the results most frequently used in the first half of this thesis are collected together for convenience and to establish the notation that v/ill be used throughout the later chapters. The chapter is ...
131
On Properties of Fuzzy Mealy Machines
... Recently, there has been tremendous growth in research on fuzzy automata theory, theoretically[8-10,12] as well as practically [5,7,10,13]. Fuzzy Mealy machine is a kind of fuzzy automaton with outputs capabilities based ...
8
Progenitors, Symmetric Presentations, and Related Topics
... relations to progenitors, first order relations, wreath product, and Curtis lemma.. In Chapter 7[r] ...
340
CI-property for the group \((\mathbb{Z}_p)^2\times\mathbb{Z}_q\times\mathbb{Z}_r\)
... a wreath product of two proper S-rings over subgroups of H, but from [11] and [14] we can see that every proper subgroup of H is CI-group, thus by theorm 2, every schurian S-ring over a proper subgroup of H is a ...
9
Capita transformata : reworked private Roman portraits, first through fourth centuries AD : a thesis presented in partial fulfilment of the requirement for the degree of Master of Arts in History at Massey University
... Thus, it appears that the Art Market portrait was reworked from a female portrait similar to those of Matidia, but that the wreath on the back of the head was not altered, because it was[r] ...
210
The Party Train: A Collection Of North American Prose Poetry, edited by Robert Alexander, Mark Vinz, and C.W. Truesdale; A Curious Architecture: A Selection Of Contemporary Prose Poems, edited by Rupert Loydell and David Miller; Models Of The Universe: An Anthology Of The Prose Poem, edited by Stuart Friebert and David Young
... Snakebread is the rapture of snakes. It is a torturous hollow wreath of bread with a practical entrance and exit. The snake, aroused and shimmering, is accustomed to winding its way in[r] ...
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