Search results for "Mathematics::Group Theory"
showing 10 items of 174 documents
High-pressure lattice dynamics in wurtzite and rocksalt indium nitride investigated by means of Raman spectroscopy
2013
We present an experimental and theoretical lattice-dynamical study of InN at high hydrostatic pressures. We perform Raman scattering measurements on five InN epilayers, with different residual strain and free electron concentrations. The experimental results are analyzed in terms of ab initio lattice-dynamical calculations on both wurtzite InN (w-InN) and rocksalt InN (rs-InN) as a function of pressure. Experimental and theoretical pressure coefficients of the optical modes in w-InN are compared, and the role of residual strain on the measured pressure coefficients is analyzed. In the case of the LO band, we analyze and discuss its pressure behavior considering the double-resonance mechanis…
SURFACE SUBGROUPS OF RIGHT-ANGLED ARTIN GROUPS
2007
We consider the question of which right-angled Artin groups contain closed hyperbolic surface subgroups. It is known that a right-angled Artin group $A(K)$ has such a subgroup if its defining graph $K$ contains an $n$-hole (i.e. an induced cycle of length $n$) with $n\geq 5$. We construct another eight "forbidden" graphs and show that every graph $K$ on $\le 8$ vertices either contains one of our examples, or contains a hole of length $\ge 5$, or has the property that $A(K)$ does not contain hyperbolic closed surface subgroups. We also provide several sufficient conditions for a \RAAG to contain no hyperbolic surface subgroups. We prove that for one of these "forbidden" subgraphs $P_2(6)$, …
Algorithms for permutability in finite groups
2013
In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.
On a class of generalised Schmidt groups
2015
In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A 5 -free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the order of the group is also obtained.
"Table 1" of "Centrality dependence of the charged-particle multiplicity density at mid-rapidity in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 Te…
2016
The values of ${\langle N_\mathrm{part} \rangle}$ obtained with the Glauber model are measured in $|\eta|$ < 0.5 for eleven centrality classes. The statistical error contribution being negligible.
"Table 7" of "A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target"
2006
Collins asymmetry against PT for all positive hadrons.
"Table 9" of "A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target"
2006
Collins asymmetry against Z for all positive hadrons.
"Table 12" of "A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target"
2006
Collins asymmetry against Z for leading positive hadrons.
"Table 10" of "A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target"
2006
Collins asymmetry against PT for leading positive hadrons.
"Table 6" of "A new measurement of the Collins and Sivers asymmetries on a transversely polarised deuteron target"
2006
Collins asymmetry against Z for leading negative hadrons.