On the Lattice of Subvarieties of the Wreath Product of the Variety of Semilattices and the Variety of Semigroups with Zero Multiplication
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DOI: 10.1007/s10958-017-3236-4
Abstract: It is known that the monoid wreath product of any two semigroup varieties that are atoms in the lattice of all semigroup varieties may have a finite as well as an infinite lattice of subvarieties.… read more here.
Keywords: variety; lattice subvarieties; wreath product; product variety ... See more keywords
On state-closed representations of restricted wreath product of groups Gp,d = CpwrCd☆
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DOI: 10.1016/j.jalgebra.2017.02.019
Abstract: Abstract Let G p , d be the restricted wreath product C p w r C d where C p is a cyclic group of order a prime p and C d a free abelian… read more here.
Keywords: state; fsc representations; state closed; group ... See more keywords
The normalizer property for the integral group ring of the wreath product of two symmetric groups Sk and Sn
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DOI: 10.1080/00927872.2016.1175613
Abstract: ABSTRACT It is shown that if is the wreath product of the symmetric group Sk by the symmetric group Sn, then the normalizer property holds for G. read more here.
Keywords: property integral; wreath product; group; normalizer property ... See more keywords
On the endomorphism semigroup of a multiple wreath product of groups
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DOI: 10.1080/00927872.2016.1206340
Abstract: ABSTRACT Let be a cyclic group of order pm, where p is a prime and m is an arbitrary positive integer. It is proved that the wreath product (n factors) is determined for each natural… read more here.
Keywords: endomorphism; endomorphism semigroup; wreath product; group ... See more keywords
The Structure of the Grothendieck Rings of Wreath Product Deligne Categories and their Generalisations
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DOI: 10.1093/imrn/rnz144
Abstract: Given a tensor category $\mathcal{C}$ over an algebraically closed field of characteristic zero, we may form the wreath product category $\mathcal{W}_n(\mathcal{C})$. It was shown in [10] that the Grothendieck rings of these wreath product categories… read more here.
Keywords: infty mathbb; mathcal infty; infty; mathbb ... See more keywords