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1,253
Inducing, slopes and conjugacy classes
 Isr. J. Math
, 1997
"... We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a smooth codimension 1 submanifold of parameter space. In particular conjugacy classes have empty interior. This is based on a study of the relation between induced Markov maps and er ..."
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Cited by 3 (0 self)
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We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a smooth codimension 1 submanifold of parameter space. In particular conjugacy classes have empty interior. This is based on a study of the relation between induced Markov maps
Homogeneous products of conjugacy classes
 Arch. Math
"... Abstract. Let G be a finite group and a ∈ G. Let a G = {g −1 ag  g ∈ G} be the conjugacy class of a in G. Assume that a G and b G are conjugacy classes of G with the property that CG(a) = CG(b). Then a G b G is a conjugacy class if and only if [a, G] = [b, G] = [ab, G] and [ab, G] is a normal su ..."
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Cited by 4 (4 self)
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Abstract. Let G be a finite group and a ∈ G. Let a G = {g −1 ag  g ∈ G} be the conjugacy class of a in G. Assume that a G and b G are conjugacy classes of G with the property that CG(a) = CG(b). Then a G b G is a conjugacy class if and only if [a, G] = [b, G] = [ab, G] and [ab, G] is a normal
ON NILPOTENT GROUPS AND CONJUGACY CLASSES
, 2005
"... Abstract. Let G be a nilpotent group and a ∈ G. Let aG = {g−1ag  g ∈ G} be the conjugacy class of a in G. Assume that aG and bG are conjugacy classes of G with the property that aG  = bG  = p, where p is an odd prime number. Set aGbG = {xy  x ∈ aG, y ∈ bG}. Then either aGbG = (ab) G or aGbG ..."
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Abstract. Let G be a nilpotent group and a ∈ G. Let aG = {g−1ag  g ∈ G} be the conjugacy class of a in G. Assume that aG and bG are conjugacy classes of G with the property that aG  = bG  = p, where p is an odd prime number. Set aGbG = {xy  x ∈ aG, y ∈ bG}. Then either aGbG = (ab) G or a
PRODUCTS OF CONJUGACY CLASSES IN
"... Problem). Let c1,..., cm be conjugacy classes in a given group. Does the unity of the group belong to their product? For the usual unitary group SU(n), this problem is completely solved in [2] and [3]. Various partial cases of the class product problem ..."
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Problem). Let c1,..., cm be conjugacy classes in a given group. Does the unity of the group belong to their product? For the usual unitary group SU(n), this problem is completely solved in [2] and [3]. Various partial cases of the class product problem
ON CONJUGACY CLASSES AND DERIVED LENGTH
, 905
"... Abstract. Let G be a finite group and A, B and D be conjugacy classes of G with D ⊆ AB = {xy  x ∈ A, y ∈ B}. Denote by η(AB) the number of distinct conjugacy classes such that AB is the union of those. Set CG(A) = {g ∈ G  x g = x for all x ∈ A}. If AB = D then CG(D)/(CG(A) ∩ CG(B)) is an abelian ..."
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Abstract. Let G be a finite group and A, B and D be conjugacy classes of G with D ⊆ AB = {xy  x ∈ A, y ∈ B}. Denote by η(AB) the number of distinct conjugacy classes such that AB is the union of those. Set CG(A) = {g ∈ G  x g = x for all x ∈ A}. If AB = D then CG(D)/(CG(A) ∩ CG(B)) is an abelian
Nilpotent conjugacy classes
, 2012
"... I attempt here a succinct account of nilpotent conjugacy classes in the complex semisimple Lie algebras (and therefore also of the unipotent classes in the associated groups). I begin with the simplest case Mn. In this case, the Jordan decomposition theorem tells us that there is a bijection of nilp ..."
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I attempt here a succinct account of nilpotent conjugacy classes in the complex semisimple Lie algebras (and therefore also of the unipotent classes in the associated groups). I begin with the simplest case Mn. In this case, the Jordan decomposition theorem tells us that there is a bijection
ON INTERSECTIONS OF CONJUGACY CLASSES AND
"... Abstract. For a connected complex semisimple Lie group G and a fixed pair (B,B−) of opposite Borel subgroups of G, we determine when the intersection of a conjugacy class C in G and a double coset BwB − is nonempty, where w is in the Weyl group W of G. The question comes from Poisson geometry, and ..."
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Abstract. For a connected complex semisimple Lie group G and a fixed pair (B,B−) of opposite Borel subgroups of G, we determine when the intersection of a conjugacy class C in G and a double coset BwB − is nonempty, where w is in the Weyl group W of G. The question comes from Poisson geometry
On the quantization of conjugacy classes
, 2007
"... Abstract. Let G be a compact, simple, simply connected Lie group. A theorem of FreedHopkinsTeleman identifies the level k ≥ 0 fusion ring Rk(G) of G with the twisted equivariant Khomology at level k + h ∨ , where h ∨ is the dual Coxeter number of G. In this paper, we will review this result using ..."
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Cited by 11 (1 self)
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using the language of DixmierDouady bundles. We show that the additive generators of the group Rk(G) are obtained as Khomology pushforwards of the fundamental classes of prequantized conjugacy classes in G. 1.
GROUPS WITH FEW CONJUGACY CLASSES
"... Abstract. Let G be a finite group, p a prime divisor of the order of G, and k(G) the number of conjugacy classes of G. By disregarding at most finitely many nonsolvable psolvable groups G, we have k(G) ≥ 2√p − 1 with equality if and only if p − 1 is an integer, G = Cp o C√p−1 and CG(Cp) = Cp. Th ..."
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Abstract. Let G be a finite group, p a prime divisor of the order of G, and k(G) the number of conjugacy classes of G. By disregarding at most finitely many nonsolvable psolvable groups G, we have k(G) ≥ 2√p − 1 with equality if and only if p − 1 is an integer, G = Cp o C√p−1 and CG(Cp) = Cp
GROUPS WITH RESTRICTED CONJUGACY CLASSES
"... Abstract. Let FC0 be the class of all finite groups, and for each nonnegative integer n define by induction the group class FCn+1 consisting of all groups G such that for every element x the factor group G/CG(〈x〉 G) has the property FCn. Thus FC1groups are precisely groups with finite conjugacy cl ..."
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Abstract. Let FC0 be the class of all finite groups, and for each nonnegative integer n define by induction the group class FCn+1 consisting of all groups G such that for every element x the factor group G/CG(〈x〉 G) has the property FCn. Thus FC1groups are precisely groups with finite conjugacy
Results 1  10
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1,253