491 research outputs found
The Simple Ree groups are determined by the set of their character degrees
Let be a finite group. Let be the set of all complex
irreducible character degrees of In this paper, we will show that if
where is the simple Ree group
then where is an abelian
group. This verifies Huppert's Conjecture for the simple Ree groups
when Comment: 14 pages, to appear in Journal of Algebr
Symmetric groups are determined by their character degrees
Let be a finite group. Let be the first column of the ordinary
character table of In this paper, we will show that if
then As a consequence, we show that is uniquely determined
by the structure of the complex group algebra \C S_n.Comment: 12 pages, to appear in Journal of Algebr
On a generalization of M-group
In this paper, we will show that if for every nonlinear complex irreducible
character of a finite group G, some multiple of it is induced from an
irreducible character of some proper subgroup of G, then G is solvable. This is
a generalization of Taketa's Theorem on the solvability of M-group.Comment: 17 pages, to appear in J. Algebr
The Ontology of Intentional Agency in Light of Neurobiological Determinism: Philosophy Meets Folk Psychology
The moot point of the Western philosophical rhetoric about free will
consists in examining whether the claim of authorship to intentional, deliberative
actions fits into or is undermined by a one-way causal framework of determinism.
Philosophers who think that reconciliation between the two is possible are known as
metaphysical compatibilists. However, there are philosophers populating the other
end of the spectrum, known as the metaphysical libertarians, who maintain that claim
to intentional agency cannot be sustained unless it is assumed that indeterministic
causal processes pervade the action-implementation apparatus employed by the agent.
The metaphysical libertarians differ among themselves on the question of whether the
indeterministic causal relation exists between the series of intentional states and
processes, both conscious and unconscious, and the action, making claim for what has
come to be known as the event-causal view, or between the agent and the action,
arguing that a sort of agent causation is at work. In this paper, I have tried to propose
that certain features of both event-causal and agent-causal libertarian views need to be
combined in order to provide a more defendable compatibilist account accommodating
deliberative actions with deterministic causation. The ‘‘agent-executed-eventcausal
libertarianism’’, the account of agency I have tried to develop here, integrates
certain plausible features of the two competing accounts of libertarianism turning
them into a consistent whole. I hope to show in the process that the integration of these
two variants of libertarianism does not challenge what some accounts of metaphysical
compatibilism propose—that there exists a broader deterministic relation between the
web of mental and extra-mental components constituting the agent’s dispositional
system—the agent’s beliefs, desires, short-term and long-term goals based on them,
the acquired social, cultural and religious beliefs, the general and immediate and
situational environment in which the agent is placed, etc. on the one hand and the
decisions she makes over her lifetime on the basis of these factors. While in the
‘‘Introduction’’ the philosophically assumed anomaly between deterministic causation
and the intentional act of deciding has been briefly surveyed, the second section is
devoted to the task of bridging the gap between compatibilism and libertarianism. The
next section of the paper turns to an analysis of folk-psychological concepts and
intuitions about the effects of neurochemical processes and prior mental events on the
freedom of making choices. How philosophical insights can be beneficially informed
by taking into consideration folk-psychological intuitions has also been discussed,
thus setting up the background for such analysis. It has been suggested in the end that
support for the proposed theory of intentional agency can be found in the folk-psychological intuitions, when they are taken in the right perspective
Simple classical groups of Lie type are determined by their character degrees
In this paper, we will show that nonabelian simple classical groups of Lie
type are uniquely determined by the structure of their complex group algebras.Comment: 10 pages, to appear in Journal of Algebr
Alternating groups and moduli space lifting Invariants
Main Theorem: Spaces of r-branch point 3-cycle covers, degree n or Galois of
degree n!/2 have one (resp. two) component(s) if r=n-1 (resp. r\ge n). Improves
Fried-Serre on deciding when sphere covers with odd-order branching lift to
unramified Spin covers. We produce Hurwitz-Torelli automorphic functions on
Hurwitz spaces, and draw Inverse Galois conclusions. Example: Absolute spaces
of 3-cycle covers with +1 (resp. -1) lift invariant carry canonical even (resp.
odd) theta functions when r is even (resp. odd). For inner spaces the result is
independent of r. Another use appears in,
http://www.math.uci.edu/~mfried/paplist-mt/twoorbit.html, "Connectedness of
families of sphere covers of A_n-Type." This shows the M(odular) T(ower)s for
the prime p=2 lying over Hurwitz spaces first studied by,
http://www.math.uci.edu/~mfried/othlist-cov/hurwitzLiu-Oss.pdf, Liu and
Osserman have 2-cusps. That is sufficient to establish the Main Conjecture: (*)
High tower levels are general-type varieties and have no rational points.For
infinitely many of those MTs, the tree of cusps contains a subtree -- a spire
-- isomorphic to the tree of cusps on a modular curve tower. This makes
plausible a version of Serre's O(pen) I(mage) T(heorem) on such MTs.
Establishing these modular curve-like properties opens, to MTs, modular
curve-like thinking where modular curves have never gone before. A fuller html
description of this paper is at
http://www.math.uci.edu/~mfried/paplist-cov/hf-can0611591.html .Comment: To appear in the Israel Journal as of 1/5/09; v4 is corrected from
proof sheets, but does include some proof simplification in \S
Additive Polynomials for Finite Groups of Lie Type
This paper provides a realization of all classical and most exceptional
finite groups of Lie type as Galois groups over function fields over F_q and
derives explicit additive polynomials for the extensions. Our unified approach
is based on results of Matzat which give bounds for Galois groups of Frobenius
modules and uses the structure and representation theory of the corresponding
connected linear algebraic groups.Comment: 59 pages; v2: added reference, slightly restructured section 6.1, few
small rewordings; v3: completed realization of Steinberg's triality groups
(thanks to P. Mueller for solving the remaining open question); clarified
argument how to use Thm. 3.
The apology mismatch: asymmetries between victim's need for apologies and perpetrator's willingness to apologize
Although previous research on apologies has shown that apologies can have many beneficial effects on victims’ responses, the dyadic nature of the apology process has
largely been ignored. As a consequence, very little is known about the congruence between perpetrators’ willingness to apologize and victims’ willingness to receive an apology. In three experimental studies we showed that victims mainly want to receive an apology after an intentional transgression, whereas perpetrators want to offer an apology particularly after an unintentional transgression. As expected, these divergent apologetic needs among victims and perpetrators were mediated by unique emotions: guilt among perpetrators and anger among victims. These results suggest that an apology serves very different goals among victims and perpetrators, thus pointing at an apology mismatch
Transcranial Recording of Electrophysiological Neural Activity in the Rodent Brain in vivo Using Functional Photoacoustic Imaging of Near-Infrared Voltage-Sensitive Dye
- …