25,698 research outputs found
Fitting quotients of finitely presented abelian-by-nilpotent groups
We show that every finitely generated nilpotent group of class 2 occurs as
the quotient of a finitely presented abelian-by-nilpotent group by its largest
nilpotent normal subgroup.Comment: This second version takes into account the suggestions by the
referee; 11 page
Telegram from Ralph Lamberti, Deputy Borough President of Staten Island, to Geraldine Ferraro
Congratulatory telegram from Ralph J. Lamberti, Deputy Borough President of Staten Island, to Geraldine Ferraro. Includes standard response letter from Ferraro, and a data entry sheet.https://ir.lawnet.fordham.edu/vice_presidential_campaign_correspondence_1984_new_york/1266/thumbnail.jp
Entanglement decoherence in a gravitational well according to the event formalism
The event formalism is a non-linear extension of quantum field theory
designed to be compatible with the closed time-like curves that appear in
general relativity. Whilst reducing to standard quantum field theory in flat
space-time the formalism leads to testably different predictions for
entanglement distribution in curved space. In this paper we introduce a more
general version of the formalism and use it to analyse the practicality of an
experimental test of its predictions in the earth's gravitational well
Congruence lattices of semilattices
The main result of this paper is that the class of congruence
lattices of semilattices satisfies no nontrivial lattice
identities. It is also shown that the class of subalgebra
lattices of semilattices satisfies no nontrivial lattice identities.
As a consequence it is shown that if V is a semigroup variety
all of whose congruence lattices satisfy some fixed nontrivial
lattice identity, then all the members of V are groups with exponent dividing a fixed finite number
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