Subgroups of Psl(3,c) with Four Lines in General Position in Its Limit Set

نویسندگان

  • W. BARRERA
  • J. P. NAVARRETE
چکیده

In this article we provide an algebraic characterization of the subgroups of PSL(3,C) for which the maximum number of complex lines in general position contained in its limit set, according to Kulkarni, is equal to four. Also, we give an explicit description of the discontinuity region, according to Kulkarni, of such groups.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

SCHOTTKY GROUPS CANNOT ACT ON P 2n C PSL(2n + 1, C) AS SUBGROUPS OF

In this paper we look at a special type of discrete subgroups of PSLn+1(C) called Schottky groups. We develop some basic properties of these groups and their limit set when n > 1, and we prove that Schottky groups only occur in odd dimensions, i.e., they cannot be realized as subgroups of PSL2n+1(C).

متن کامل

Maximum sum element orders of all proper subgroups of PGL(2, q)

In this paper we show that if q is a power of a prime p , then the projective special linear group PSL(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group PGL(2, q) for q odd and even respectively

متن کامل

Convex $L$-lattice subgroups in $L$-ordered groups

In this paper, we have focused to study convex $L$-subgroups of an $L$-ordered group. First, we introduce the concept of a convex $L$-subgroup and a convex $L$-lattice subgroup of an $L$-ordered group and give some examples. Then we find some properties and use them to construct convex $L$-subgroup generated by a subset $S$ of an $L$-ordered group $G$ . Also, we generalize a well known result a...

متن کامل

Geometric Finiteness in Negatively Pinched Hadamard Manifolds

In this paper, we generalize Bonahon’s characterization of geometrically infinite torsion-free discrete subgroups of PSL(2,C) to geometrically infinite discrete torsionfree subgroups Γ of isometries of negatively pinched Hadamard manifolds X. We then generalize a theorem of Bishop to prove that every such geometrically infinite isometry subgroup Γ has a set of nonconical limit points with cardi...

متن کامل

6 PSL ( 3 , q ) and line - transitive linear spaces

We present a partial classification of those finite linear spaces S on which an almost simple group G with socle PSL(3, q) acts line-transitively. A linear space S is an incidence structure consisting of a set of points Π and a set of lines Λ in the power set of Π such that any two points are incident with exactly one line. The linear space is called non-trivial if every line contains at least ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011