Definitions and Relationship with Conjugacy Classes
Nilpotent conjugacy classes in the classical groups
... This seems to be pretty much all one can do in arbitrary semi-simple groups, as also explained in [Cohen- Murray-Taylor:2005]. The classical semi-simple groups are those with representations of small dimension, and for ...
25
Conjugacy classes of some classical linear groups
... describe conjugacy classes of some classical linear ...and definitions of group theory that are needed for further understanding of the ...Afterwards conjugacy classes of a group are ...
60
Conjugacy classes in finite groups, commuting graphs and character degrees
... a conjugacy class of involutions and G is the symmetric group, a finite Coxeter group or the special linear group ...any conjugacy class. In order to state the result we need some definitions and ...
158
Conjugacy classes and graphs of two-groups of nilpotency class two
... basic definitions and concepts related to this research are ...of conjugacy classes, conjugacy class sizes and graphs related to conjugacy classes are compared and ...
24
Conjugacy Classes of Maximal k-split Tori Invariant Under an Involution of SL(n,k).
... -conjugacy classes of θ-stable maximal k-split tori are determined by the image and fibers of the map ζ : A θ k /H k → A θ /H ...H-conjugacy classes of θ-stable maximal k-split ...of ...
83
Countably recognizable classes of groups with restricted conjugacy classes
... finite conjugacy classes is to establish conditions under which a periodic residually finite F C -group can be embedded into the direct product of a collection of finite ...
12
Statistics in conjugacy classes in free groups
... non-trivial conjugacy class in and let k = inf {| x |: x ∈ C} > ...the conjugacy class is precisely the set of elements with cyclically reduced word ...
15
Sign conjugacy classes in symmetric groups
... Remark. The results from [6,8] quoted in the above proof are formulated for arbitrary primes. How- ever Theorem 5 does not have an analogue for odd primes. J. McKay has pointed out, that in [7] it was shown that the ...
8
Camina groups with few conjugacy classes
... few conjugacy classes Leonardo Cangelmi and Arun ...the conjugacy classes outside K coincide with the cosets of ...of conjugacy classes contained in the derived ...three ...
10
Asymptotics in conjugacy classes for free groups
... Chapter 1 Introduction 1.1 Counting functions Asymptotic analysis is the study of quantification, approximation and estimation associated with long-term or limiting behaviour. In this thesis we consider asymp- totics ...
105
Integral conjugacy classes of compact Lie groups
... twisted conjugacy classes of a compact simply connected Lie group G as a convex polytope in an Euclidean vector space whose faces of maximal dimension are in one to one correspondence with the vertices of a ...
17
Conjugacy classes contained in normal subgroups: an overview
... to conjugacy classes of normal subgroups in finite groups In 1990, ...ordinary conjugacy classes of G as follows: the vertices of Γ(G) are represented by the non-central conjugacy ...
14
Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups
... point classes of a map can easily be identified with the con- jugacy classes of liftings of this map to the universal covering of compact polyhedron, and these last ones with the twisted conjugacy ...
13
The conjugacy classes of metabelian groups of order at most 24
... A conjugacy class is an equivalence relation; therefore it partitions the group into disjoint equivalence classes or ...the classes together with those at the centre as well as the identity must ...
5
Orbit counting in conjugacy classes for free groups acting on trees
... Remark 2.2. Another subshift of finite type naturally associated to the graph is obtained by taking infinite paths, i.e. infinite sequences of oriented edges with the restriction that e 0 can follow e only if e ...
14
Some problems about products of conjugacy classes in finite groups
... a conjugacy class satisfying that some of its powers is again a conjugacy class, and obtain an equivalent property in terms of the irreducible characters of the ...
10
Minimal Length Elements in Twisted Conjugacy Classes of Finite Coxeter Groups
... TWISTED CONJUGACY IN FINITE COXETER GROUPS Throughout this section, we shall fix a finite Coxeter group W with generators S and an automorphism F: W ª W such that F S s ...
31
A note on maximal length elements in conjugacy classes of finite coxeter groups
... , conjugacy classes are also parameterized by signed cycle type, with the exception that there are two classes for each signed cycle type consisting only of even length, positive ...split ...
10
RATIONAL CONJUGACY CLASSES OF MAXIMAL TORI IN GROUPS OF TYPE D n
... k-isomorphism classes of embeddings of tori to a result about k-conjugacy classes of embeddings of tori in SO A,τ ...k-conjugacy classes of tori in SO A,τ and k-isomorphism ...
37
Conjugacy Classes of the Hyperelliptic Mapping Class Group of Genus 2 and 3
... D ( ) := 6 1 6 1 for any 2 M 2 . Table 2 shows 6 and D ( ) for with at most word length 4. From this table we see that the characteristic function of the Jones rep- resentation cannot distinguish all ...
14