47,072 research outputs found
Irreducible p-constant characters of finite reflection groups
A complex irreducible character of a finite group G is said to be p-constant,
for some prime p dividing the order of G, if it takes constant value at the set
of p-singular elements of G. In this paper we classify irreducible p-constant
characters for finite reflection groups, nilpotent groups and complete monomial
groups. We also propose some conjectures about the structure of the groups
admitting such characters.Comment: To appear in Journal of Group Theor
The (2,3)-generation of the special linear groups over finite fields
We complete the classification of the finite special linear groups \SL_n(q)
which are -generated, i.e., which are generated by an involution and an
element of order . This also gives the classification of the finite simple
groups \PSL_n(q) which are -generated.Comment: 5 page
The (2,3)-generation of the classical simple groups of dimension 6 and 7
In this paper we prove that the finite simple groups ,
and are (2,3)-generated for all q. In particular,
this result completes the classification of the (2,3)-generated finite
classical simple groups up to dimension 7
Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in D dimensions
The problem of computing the effective nonrelativistic potential for
the interaction of charged scalar bosons within the context of D-dimensional
electromagnetism with a cutoff, is reduced to quadratures. It is shown that
cannot bind a pair of identical charged scalar bosons; nevertheless,
numerical calculations indicate that boson-boson bound states do exist in the
framework of three-dimensional higher-derivative electromagnetism augmented by
a topological Chern-Simons term.Comment: 6 page
Lamellar order, microphase structures and glassy phase in a field theoretic model for charged colloids
In this paper we present a detailed analytical study of the phase diagram and
of the structural properties of a field theoretic model with a short-range
attraction and a competing long-range screened repulsion. We provide a full
derivation and expanded discussion and digression on results previously
reported briefly in M. Tarzia and A. Coniglio, Phys. Rev. Lett. 96, 075702
(2006). The model contains the essential features of the effective interaction
potential among charged colloids in polymeric solutions. We employ the
self-consistent Hartree approximation and a replica approach, and we show that
varying the parameters of the repulsive potential and the temperature yields a
phase coexistence, a lamellar and a glassy phase. Our results suggest that the
cluster phase observed in charged colloids might be the signature of an
underlying equilibrium lamellar phase, hidden on experimental time scales, and
emphasize that the formation of microphase structures may play a prominent role
in the process of colloidal gelation.Comment: 16 pages, 7 figure
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