Results 11 to 20 of about 12,614,847 (317)
Journal of Chemical Theory and Computation, 2021 In this paper, we show that the standard second-order vibrational perturbation theory (VPT2) for Abelian groups can be used also for non-Abelian groups without employing specific equations for two- or threefold degenerate vibrations but rather handling ...
M. Mendolicchio, J. Bloino, V. Barone
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Generalized Kähler almost abelian Lie groups [PDF]
, 2020 We study left-invariant generalized Kähler structures on almost abelian Lie groups, i.e., on solvable Lie groups with a codimension-one abelian normal subgroup.
A. Fino, Fabio Paradiso
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On strongly sequenceable abelian groups
The Art of Discrete and Applied Mathematics, 2020 A group is strongly sequenceable if every connected Cayley digraph on the group admits an orthogonal directed cycle or an orthogonal directed path. This paper deals with the problem of whether finite abelian groups are strongly sequenceable.
B. Alspach, Georgina Liversidge
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On finite GK-dimensional Nichols algebras over abelian groups [PDF]
Memoirs of the American Mathematical Society, 2016 We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GKdim \operatorname {GKdim} for short, through the study of Nichols algebras over abelian groups.
N. Andruskiewitsch +2 more
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On self-similarity of wreath products of abelian groups [PDF]
Groups, Geometry, and Dynamics, 2016 We prove that a self-similar free abelian group has finite rank. We apply the result to self-similar wreath products of abelian groups $G=BwrX$. We show that if $X$ is torsion-free, then $B$ is torsion of finite exponent.
A. C. Dantas, S. Sidki
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Universal abelian groups [PDF]
Israel Journal of Mathematics, 1995 We examine the existence of universal elements in classes of infinite abelian groups. The main method is using group invariants which are defined relative to club guessing sequences. We prove, for example: Theorem: For $n\ge 2$, there is a purely universal separable $p$-group in $\aleph_n$ if, and only if, $\cont\le \aleph_n$.
Menachem Kojman +3 more
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On sheaves of Abelian groups and universality
Applied General Topology, 2021 Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects.
S.D. Iliadis, Yu. V. Sadovnichy
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On nilpotent but not abelian groups and abelian but not cyclic groups
Journal of Number Theory, 1988 Using general sieve-type methods of number theory and certain density estimates for prime numbers, the authors derive asymptotic formulae for \(A(n)-C(n)\) and \(N(n)-A(n)\), where \(A(n)=\#\{m\leq n:\) every group of order \(m\) is abelian\(\},\) \(C(n)=\#\{m\leq n:\) every group of order \(m\) is cyclic\(\}\), and \(N(n)=\#\{m\leq n:\) every group of
Paul Erdös, Michael E. Mays
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Degree bound for separating invariants of abelian groups [PDF]
, 2016 It is proved that the universal degree bound for separating polynomial invariants of a finite abelian group (in non-modular characteristic) is strictly smaller than the universal degree bound for generators of polynomial invariants, unless the goup is ...
M. Domokos
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Non-Abelian Pseudocompact Groups
Axioms, 2016 Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
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