17,473 research outputs found
Cohomological finiteness conditions and centralisers in generalisations of Thompson's group V
We consider generalisations of Thompson's group , denoted ,
which also include the groups of Higman, Stein and Brin. We show that, under
some mild hypotheses, is the full automorphism group of a
Cantor-algebra. Under some further minor restrictions, we prove that these
groups are of type and that this implies that also
centralisers of finite subgroups are of type .Comment: 19 pages, 2 figures. Revised version. The original submission has now
been split into two papers. The current submission contains the first one.
The second part is being reworked and will be reposted soon independently.
Lemma 4.8 was incorrect as stated and has since been rectified. The results
of the paper are unchange
Cohomological Finiteness Conditions in Bredon Cohomology
We show that any soluble group of type Bredon-\FP_{\infty} with respect
to the family of all virtually cyclic subgroups such that centralizers of
infinite order elements are of type \FP_{\infty} must be virtually cyclic. To
prove this, we first reduce the problem to the case of polycyclic groups and
then we show that a polycyclic-by-finite group with finitely many conjugacy
classes of maximal virtually cyclic subgroups is virtually cyclic. Finally we
discuss refinements of this result: we only impose the property Bredon-\FP_n
for some and restrict to abelian-by-nilpotent, abelian-by-polycyclic
or (nilpotent of class 2)-by-abelian groups.Comment: Corrected a mistake in Lemma 2.4 of the previous version, which had
an effect on the results in Section 5 (the condition that all centralisers of
infinite order elements are of type was added
VLT and GTC observations of SDSS J0123+00: a type 2 quasar triggered in a galaxy encounter?
We present long-slit spectroscopy, continuum and [OIII]5007 imaging data
obtained with the Very Large Telescope and the Gran Telescopio Canarias of the
type 2 quasar SDSS J0123+00 at z=0.399. The quasar lies in a complex, gas-rich
environment. It appears to be physically connected by a tidal bridge to another
galaxy at a projected distance of ~100 kpc, which suggests this is an
interacting system. Ionized gas is detected to a distance of at least ~133 kpc
from the nucleus. The nebula has a total extension of ~180 kpc. This is one of
the largest ionized nebulae ever detected associated with an active galaxy.
Based on the environmental properties, we propose that the origin of the nebula
is tidal debris from a galactic encounter, which could as well be the
triggering mechanism of the nuclear activity. SDSS J0123+00 demonstrates that
giant, luminous ionized nebulae can exist associated with type 2 quasars of low
radio luminosities, contrary to expectations based on type 1 quasar studies.Comment: 6 pages, 5 figures. Accepted for publication in MNRAS Letter
The influence of the Ratio Bias phenomenon on the elicitation of Standard Gamble utilities
This paper tests whether logically equivalent risk formats can lead to different health state utilities elicited by means of the standard gamble (SG) method. We compare SG utilities elicited when probabilities are framed in terms of frequencies with respect to 100 people in the population (i.e., X out of 100) with SG utilities elicited for frequencies with respect to 1,000 people in the population (i.e., Y out of 1,000). We found that utilities were significant higher when success and failure probabilities were framed as frequencies type “Y out of 1,000” rather than as frequencies type “X out of 100”. This framing effect, known as Ratio Bias, may have important consequences in resource allocation decisions.Framing effect, risk format, standard gamble, health state, dual-process theories.
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