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806
Gravity coupled with matter and the foundation of non commutative geometry
, 1996
"... We first exhibit in the commutative case the simple algebraic relations between the algebra of functions on a manifold and its infinitesimal length element ds. Its unitary representations correspond to Riemannian metrics and Spin structure while ds is the Dirac propagator ds = ×— × = D −1 where D i ..."
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Cited by 343 (17 self)
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work with Ali Chamseddine) to give the SM Lagrangian coupled to gravity. The internal fluctuations of the non commutative geometry are trivial in the commutative case but yield the full bosonic sector of SM with all correct quantum numbers in the slightly non commutative case. The group of local gauge
Calculation of the Subgroups of a TrivialFitting Group
"... We describe an algorithm to determine representatives of the conjugacy classes of subgroups of a TrivialFitting group, this case being the one prior algorithms reduce to. As a subtask we describe an algorithm for determining conjugacy classes of complements to an arbitrary normal subgroup if the fa ..."
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We describe an algorithm to determine representatives of the conjugacy classes of subgroups of a TrivialFitting group, this case being the one prior algorithms reduce to. As a subtask we describe an algorithm for determining conjugacy classes of complements to an arbitrary normal subgroup
Stabilizers of trivial ideals
 Bull. London Math. Soc
, 1993
"... Penttila, Praeger and Woods [2], it has been shown that stabilizers of filters (equivalently, stabilizers of ideals) play a crucial role in the study of maximal subgroups of infinite symmetric groups. Semmes proved that if if is a maximal ..."
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Cited by 1 (0 self)
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Penttila, Praeger and Woods [2], it has been shown that stabilizers of filters (equivalently, stabilizers of ideals) play a crucial role in the study of maximal subgroups of infinite symmetric groups. Semmes proved that if if is a maximal
Trivial Units in Group Rings
"... Abstract. Let G be an arbitrary group and let U be a subgroup of the normalized units in ZG. We show that if U contains G as a subgroup of finite index, then U = G. This result can be used to give an alternative proof of a recent result of Marciniak and Sehgal on units in the integral group ring of ..."
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Abstract. Let G be an arbitrary group and let U be a subgroup of the normalized units in ZG. We show that if U contains G as a subgroup of finite index, then U = G. This result can be used to give an alternative proof of a recent result of Marciniak and Sehgal on units in the integral group ring
NUMERICALLY TRIVIAL INVOLUTIONS OF
"... Abstract. There are two types of numerically trivial involutions of an Enriques surface according as their period lattice. One is U(2) ⊥ U(2)type and the other is U ⊥ U(2)type. An Enriques surface with an involution of U(2) ⊥ U(2)type is doubly covered by a Kummer surface of product type, and s ..."
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Abstract. There are two types of numerically trivial involutions of an Enriques surface according as their period lattice. One is U(2) ⊥ U(2)type and the other is U ⊥ U(2)type. An Enriques surface with an involution of U(2) ⊥ U(2)type is doubly covered by a Kummer surface of product type
ON DOUBLE COSETS WITH THE TRIVIAL INTERSECTION PROPERTY AND
"... Abstract. For a composition of n our aim is to obtain reduced forms for all the elements in the KazhdanLusztig (right) cell containing wJ(), the longest element of the standard parabolic subgroup of Sn corresponding to . We investigate how far this is possible to achieve by looking at elements of ..."
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of the form wJ()d, where d is a prex of an element of minimum length in a (WJ(); B) double coset with the trivial intersection property, B being a parabolic subgroup of Sn whose type is `dual ' to that of WJ(). 1.
On some subgroup chains related to Kneser’s theorem
, 2007
"... A recent result of Balandraud shows that for every subset S of an abelian group G there exists a non trivial subgroup H such that TS  ≤ T  + S  − 2 holds only if H ⊂ Stab(TS). Notice that Kneser’s Theorem only gives {0} = Stab(TS). This strong form of Kneser’s theorem follows from some nice ..."
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Cited by 2 (1 self)
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A recent result of Balandraud shows that for every subset S of an abelian group G there exists a non trivial subgroup H such that TS  ≤ T  + S  − 2 holds only if H ⊂ Stab(TS). Notice that Kneser’s Theorem only gives {0} = Stab(TS). This strong form of Kneser’s theorem follows from some nice
Separable subgroups of mapping class groups 1 Separable subgroups of mapping class groups
, 2006
"... We investigate separability questions for the mapping class group of a surface. While this group is not subgroup separable in general, we prove a large family of interesting subgroups are separable. This includes many classically studied subgroups such as solvable subgroups, Heegaard and Handlebody ..."
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and Handlebody groups, geometric subgroups, and all the terms in the Johnson filtration. 1 Introduction and main results A subgroup H of G is said to be separable in G if it can be expressed as an intersection of finite index subgroups of G. If the trivial subgroup {1} is separable, G is residually finite. More
Some nontrivial families of symplectic structures
"... It has recently been shown by Seidel [10] that many symplectic 4manifolds admit symplectic automorphisms which are differentiably isotopic to the identity but which cannot be deformed to the identity through symplectomorphisms. Seidel detected this phenomenon using the Floer homology groups that ..."
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Cited by 14 (0 self)
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isotopic to the identity, and let Symp be the subgroup consisting of symplectomorphisms. The map
Triviality of Scalar Linear Type Isotropy Subgroup by Passing to an Alternative Canonical Form of a Hypersurface
, 1998
"... The ChernMoser (CM) normal form of a real hypersurfaces in CN can be obtained by considering automorphisms whose derivative act as the identity on the complex tangent space. However, the CM normal form is also invariant under a larger group (pseudounitary linear transformations) and it is the pro ..."
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Cited by 2 (2 self)
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) and it is the property that makes the CM normal form special. Without this additional restriction, various types of normal forms occur. One of them helps to give a simple proof of a (previously complicated) theorem about triviality of scalar linear type isotropy subgroup of a nonquadratic hypersurface. An example
Results 1  10
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806