Results 111 to 120 of about 46,736 (253)
Sequencing certain dihedral groups
A sequencing of a finite group is an ordering of its elements such that the partial products of its nonempty initial segments exhaust all group elements (without repetition). It is shown that at least three-fourths of the dihedral groups are sequenceable.
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Noncommutative invariants of dihedral groups
Let [Formula: see text] and [Formula: see text] be, respectively, the 2-generated free metabelian associative and Lie algebra over the field of complex numbers. In the associative case we find a finite set of generators of the algebra [Formula: see text] of the dihedral group of order [Formula: see text], [Formula: see text]. In the Lie case we find a
Vesselin Drensky, Boyan Kostadinov
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On Klein Surfaces and Dihedral Groups.
We study the following problem. Given an NEC group \(\Gamma\) and the dihedral group \(D_p\), with \(p\) a prime, how many non-conjugate normal subgroups of \(\Gamma\) has \(D_p\) as quotient group? This is equivalent to asking how many non-biconformally equivalent Klein surfaces that are coverings of the orbifold whose fundamental group is \(\Gamma ...
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A strained macrocycle consisting solely of azulene subunits, named [6]cycloparaazulenylene ([6]CPA), is presented. The macrocycle exhibits a notably narrow HOMO–LUMO gap for a pristine azulene species, strain‐induced red‐shifted absorption, and an unusual tubular packing motif elucidated via single‐crystal XRD.
Clara Douglas +8 more
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The Missing Link in Ferrocenophane Chemistry: Isolation of a Carba[1]Ferrocenophane
The synthesis and isolation of a crystalline carba[1]ferrocenophane is reported. A single carbon atom is the smallest bridging motif yet incorporated into a ferrocenophane, resulting in a dihedral angle between the cyclopentadienyl ring planes of 36.7°, which is the highest angular deflection from ferrocene's coplanarity observed so far.
Aylin Feuerstein +5 more
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Shunkov Groups with Additional Finiteness Conditions, Containing Dihedral Subgroups
In this paper, Shunkov groups are studied in the context of the well-known question of B. Amberg and L. S. Kazarin about the structure of groups containing direct products of a finite number of dihedral groups.
V. S. Senashov, A. A. Shlyopkin
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A Chiral Saddle‐Shaped Nanographene With Two Heptagon‐Embedded [4]Helicenes
We present a novel synthetic strategy toward a chiral saddle‐shaped nanographene (cSNG) via a two‐step oxidation of a prochiral anthracene precursor. The Scholl‐type oxidation first yields a key intermediate with sp3‐defect heptagons, and subsequent oxidative dehydrogenation affords fully conjugated cSNG.
Felix Trautner +11 more
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Abstract The crania of leporid lagomorphs are uniquely fenestrated, including the posterior cranial bones and the lateral portion of the maxilla. The functional significance of the highly fenestrated rostrum has received considerably little attention, despite being absent in other mammalian herbivores with a long rostrum.
Amber P. Wood‐Bailey, Alana C. Sharp
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The mechanism of labor in nonhuman primates: A look inside
Abstract While in humans, the flexed position of the fetus and its rotating course down the birth canal are well documented, in other primates the mechanism of labor is unknown. Despite the lack of comparative data, it is commonly assumed that the human obstetric mechanism is unique, and anthropologists have disputed when and why the transition to the ...
Melissa K. Stoller
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