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Infinite index subalgebras of depth two
 Proc. A.M.S. 136
, 2008
"... Abstract. An algebra extension A  B is right depth two in this paper if its tensorsquare is ABisomorphic to a direct summand of any (not necessarily finite) direct sum of A with itself. For example, normal subgroups of infinite groups, infinitely generated HopfGalois extensions and infinite dim ..."
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Cited by 5 (5 self)
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Abstract. An algebra extension A  B is right depth two in this paper if its tensorsquare is ABisomorphic to a direct summand of any (not necessarily finite) direct sum of A with itself. For example, normal subgroups of infinite groups, infinitely generated HopfGalois extensions and infinite
THE NONAMENABILITY OF SCHREIER GRAPHS FOR INFINITE INDEX QUASICONVEX SUBGROUPS OF HYPERBOLIC GROUPS
, 2002
"... We show that if H is a quasiconvex subgroup of infinite index in a nonelementary hyperbolic group G then the Schreier coset graph for G/H is nonamenable. ..."
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Cited by 7 (2 self)
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We show that if H is a quasiconvex subgroup of infinite index in a nonelementary hyperbolic group G then the Schreier coset graph for G/H is nonamenable.
INFINITE INDEX SUBGROUPS AND FINITENESS PROPERTIES OF INTERSECTIONS OF GEOMETRICALLY FINITE GROUPS
"... Abstract. We explore which types of finiteness properties are possible for intersections of geometrically finite groups of isometries in negatively curved symmetric rank one spaces. Our main tool is a twist construction which takes as input a geometrically finite group containing a normal subgroup o ..."
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of infinite index with given finiteness properties and infinite Abelian quotient, and produces a pair of geometrically finite groups whose intersection is isomorphic to the normal subgroup. 1.
A property of subgroups of infinite index in a free group
 PROC. AMER. MATH. SOC.
, 2000
"... We prove that if H is a nitely generated subgroup of innite index in a free group Fm, then, in a certain statistical meaning, the normal subgroup generated by "randomly" chosen elements r1; : : : ; rn of Fm has trivial intersection with H. ..."
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Cited by 28 (0 self)
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We prove that if H is a nitely generated subgroup of innite index in a free group Fm, then, in a certain statistical meaning, the normal subgroup generated by "randomly" chosen elements r1; : : : ; rn of Fm has trivial intersection with H.
Wiesbrock: A comment on Jones inclusions with infinite index, contribution to this volume
"... (dedicated to Bert Schroer’s 60th birthday) Given an irreducible inclusion of infinite vonNeumannalgebras N ⊂ M together with a conditional expectation E: M → M such that the inclusion has depth 2, we show quite explicitely how N can be viewed as the fixed point algebra of M w.r.t. an outer action ..."
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Cited by 6 (4 self)
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(dedicated to Bert Schroer’s 60th birthday) Given an irreducible inclusion of infinite vonNeumannalgebras N ⊂ M together with a conditional expectation E: M → M such that the inclusion has depth 2, we show quite explicitely how N can be viewed as the fixed point algebra of M w.r.t. an outer
Depth two for infinite index subalgebras, preprint QA/0607350
"... Abstract. In this paper, an algebra extension A  B is right depth two if its tensorsquare is ABisomorphic to a direct summand of any (not necessarily finite) direct sum of A with itself. For example, normal subgroups of infinite groups, infinitely generated HopfGalois extensions and infinite di ..."
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Cited by 2 (2 self)
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Abstract. In this paper, an algebra extension A  B is right depth two if its tensorsquare is ABisomorphic to a direct summand of any (not necessarily finite) direct sum of A with itself. For example, normal subgroups of infinite groups, infinitely generated HopfGalois extensions and infinite
Sampling signals with finite rate of innovation
 IEEE Transactions on Signal Processing
, 2002
"... Abstract—Consider classes of signals that have a finite number of degrees of freedom per unit of time and call this number the rate of innovation. Examples of signals with a finite rate of innovation include streams of Diracs (e.g., the Poisson process), nonuniform splines, and piecewise polynomials ..."
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Cited by 350 (67 self)
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“bandlimited and sinc kernel ” case. In particular, we show how to sample and reconstruct periodic and finitelength streams of Diracs, nonuniform splines, and piecewise polynomials using sinc and Gaussian kernels. For infinitelength signals with finite local rate of innovation, we show local sampling
2000]Primary: 20F67; Secondary 05C,60B,60J THE NONAMENABILITY OF SCHREIER GRAPHS FOR INFINITE INDEX QUASICONVEX SUBGROUPS OF HYPERBOLIC GROUPS
, 2002
"... Abstract. We show that if H is a quasiconvex subgroup of infinite index in a nonelementary hyperbolic group G then the Schreier coset graph for G/H is nonamenable. 1. ..."
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Abstract. We show that if H is a quasiconvex subgroup of infinite index in a nonelementary hyperbolic group G then the Schreier coset graph for G/H is nonamenable. 1.
DRAFT: Comments on Sets in Computer Algebra Systems, especially including Infinite Indexed Sets
, 2012
"... Computing with “sets ” is wellexplored in the programminglanguage and datastructure literature. Many languages have one or more set representations as well as operations for these sets. Unfortunately, the notion of set in mathematics is far more powerful than the notional support offered by ordin ..."
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Computing with “sets ” is wellexplored in the programminglanguage and datastructure literature. Many languages have one or more set representations as well as operations for these sets. Unfortunately, the notion of set in mathematics is far more powerful than the notional support offered by ordinary programming languages. The programming languages ’ notations and operations work for explicit finite sets only, not (for
Oligomorphic permutation groups
 LONDON MATHEMATICAL SOCIETY STUDENT TEXTS
, 1999
"... A permutation group G (acting on a set Ω, usually infinite) is said to be oligomorphic if G has only finitely many orbits on Ω n (the set of ntuples of elements of Ω). Such groups have traditionally been linked with model theory and combinatorial enumeration; more recently their grouptheoretic pro ..."
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Cited by 320 (26 self)
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A permutation group G (acting on a set Ω, usually infinite) is said to be oligomorphic if G has only finitely many orbits on Ω n (the set of ntuples of elements of Ω). Such groups have traditionally been linked with model theory and combinatorial enumeration; more recently their group
Results 1  10
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