منابع مشابه
The Generalized Dowling Lattices
In this paper we study a new class of lattices called the generalized Dowling lattices. These lattices are parametrized by a positive integer n , a finite group G , and a meet sublattice K of the lattice of subgroups of G . For an appropriate choice of K the generalized Dowling lattice Dn{G,K) agrees with the ordinary Dowling lattice Dn(G). For a different choice of K, the generalized Dowling l...
متن کاملQuasi-Varieties, Congruences, and Generalized Dowling Lattices
Dowling lattices and their generalizations introduced by Hanlon are interpreted as lattices of congruences associated to certain quasi-varieties of sets with group actions. This interpretation leads, by a simple application of Mobius inversion, to polynomial identities which specialize to Hanlon's evaluation of the characteristic polynomials of generalized Dowling lattices. Analogous results ar...
متن کاملA note on the r-Whitney numbers of Dowling lattices
The complete and elementary symmetric functions are specializations of Schur functions. In this paper, we use this fact to give two identities for the complete and elementary symmetric functions. This result can be used to proving and discovering some algebraic identities involving rWhitney and other special numbers.
متن کاملNested set complexes of Dowling lattices and complexes of Dowling trees
Given a finite group G and a natural number n, we study the structure of the complex of nested sets of the associated Dowling lattice Qn(G) (Proc. Internat. Sympos., 1971, pp. 101–115) and of its subposet of the G-symmetric partitions Qn(G) which was recently introduced by Hultman (http://www.math.kth.se/ ~hultman/, 2006), together with the complex of G-symmetric phylogenetic trees T G n . Hult...
متن کاملGeneralized Dowling-Degos Disease: Case Reports
Dowling-Degos disease (DDD) is a rare autosomal dominant trait characterized by numerous, symmetrical, progressive and pigmented macules over the axillae, groins, face, neck, arms and trunk as well as scattered comedo-like lesions (dark dot, follicles) and pitted acneiform scars. Histopathology is diagnostic testing using a distinctive form of acanthosis, characterized by an irregular elongatio...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1991
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1991-1014249-x