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On twisted conjugacy classes of type D in sporadic simple groups
twisted conjugacy classes type D sporadic simple groups Quantum Algebra
2011/8/23
Abstract: We determine twisted conjugacy classes of type D associated to the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf a...
Generating the Mobius group with involution conjugacy classes
Mobius group involution conjugacy classes
2011/2/28
A k-involution is an involution with a fixed point set of codimension k. The conjugacy class of such an involution, denoted Sk, generates M¨ob(n)-the the group of isometries of hyperbolic n-space-if k...
We classify twisted conjugacy classes in loop groups, restricted to classical groups. The main tool we used is the so-called D_q module, an object which is related to vector bundles over elliptic curv...
Conjugacy classes in Weyl groups and q-W algebras
Conjugacy classes Weyl groups q-W algebras
2010/11/17
We define noncommutative deformations W_q^s(G) of algebras of regular functions on certain transversal slices to the set of conjugacy classes in an algebraic group G which play the role of Slodowy sl...
Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
Iwahori-Hecke algebras Geck-Rouquier conjugacy classes symmetric functions
2010/12/9
We show the q-analog of a well-known result of Farahat and Higman: in the center of the Iwahori-Hecke algebraHn,q, if (a μ(n, q)) is the set of structure constants involved in the product of two G...
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Representation Growth positive characteristic conjugacy classes of maximal subgroups
2010/12/6
There have been a number of recent papers on the representation growth of various families of groups. In particular, see [LL], where very good estimates were given for the zeta function counting the c...
Commutators, Words, Conjugacy Classes and Character Methods
Finite simple groups commutators conjagacy classes characters word maps random walks
2010/2/26
In this survey paper we show how character methods can be used to solve a wide range of seemingly unrelated problems. These include commutators, powers of conjugacy classes and related random walks, a...
Conjugacy Classes of Finite Subgroups of Certain Mapping Class Groups
Hyperelliptic mapping class group finite subgroups of mapping class group
2010/2/26
We give a complete description of conjugacy classes of finite subgroups of the mapping class group of the sphere with r marked points. As a corollary we obtain a description of conjugacy classes of ma...
Conjugacy classes in maximal parabolic subgroups of general linear groups
Conjugacy classes parabolic subgroups linear groups
2010/10/29
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a ``matrix problem''. Such problems involve finding normal forms for ...
Conjugacy Classes of Elliptic Elements in the Picard Group
Conjugacy Classes Elliptic Elements Picard Group
2010/3/1
The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and...