Conjugacy problem
On the Conjugacy Problem for Automorphisms of Trees
... the conjugacy problem of automor- phisms of regular ...isomorphism problem of classes of countable ...of conjugacy of automorphisms of the same tree, though we present an example for which ...
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A Non-Repudiable Biased Bitstring Key Agreement Protocol (NBBKAP) Using Conjugacy Problem in Non-abelian Group
... The problem in [2] sets around for our work , in Ko et al [4] proposed a braid group version of Diffie-Hellman key agreement, Man- in- the- middle attack works on this ...of Conjugacy Search Problem ...
5
The Twin Conjugacy Search Problem and Applications
... The conjugacy search problem is an important computational problem on non- commutative groups while it is also a widely used cryptographic ...the conjugacy problem over the braid group, ...
13
Conjugacy and subgroups of word hyperbolic groups
... the conjugacy problem for lists of elements in a word-hyperbolic group which can be run in linear time; this is an improvement on a quadratic time algorithm for lists which con- tain an infinite order ...
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Toric Heaps, Cyclic Reducibility, and Conjugacy in Coxeter Groups
... Returning to Coxeter groups, heaps provide a framework for reducibility : commutativity classes of elements correspond to heaps, and reduced words to labeled linear extensions. The goal of this paper is to develop and ...
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Conjugacy Separability of Some One Relator Groups
... the conjugacy problem, as the residual finiteness is related to the word problem in the study of ...presented conjugacy separable groups have solvable conjugacy problem, just as ...
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On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions
... topological conjugacy between f and ...unique conjugacy between these maps such that ϕ0, 1/2 ⊂ 0, 1/2 and ϕ1/2, 1 ⊂ 1/2, ...surjective conjugacy between f and F ...
11
Finite groups with the same conjugacy class sizes as a finite simple group
... Abstract. For a finite group H , let cs(H) denote the set of non-trivial conjugacy class sizes of H and OC(H) be the set of the order components of H . In this paper, we show that if S is a finite simple group ...
11
Conjugacy rigidity, cohomological triviality and barycentres of invariant measures
... De la Llave, Marco & Moriy6n [34] proved a smooth co cycle rigidity theorem in the context of Coo Anosov diffeomorphisms, and in Appendix B we adapt this proof to the case of piecewise C[r] ...
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Countably recognizable classes of groups with restricted conjugacy classes
... central problem in the theory of groups with 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 ...
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On p regular G conjugacy class sizes
... Let N be a normal subgroup of a p-solvable group G. The purpose of this paper is to investigate some properties of N under the condition that the two longest sizes of the non-central p-regular G-conjugacy classes ...
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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 ...of conjugacy class and the class ...
5
Conjugacy in relatively extra-large Artin groups
... consider conjugacy of elements and parabolic subgroups in details, in a new class of Artin groups, introduced in an earlier work, which may contain arbitrary parabolic ...a conjugacy class and also an ...
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Conjugacy classes contained in normal subgroups: an overview
... be noted that similar results have also been studied for other graphs. In [19], S. Dolfi defines the dual graph of Γ(G) whose vertices are the primes which occur as divisors of the class sizes of G, and two vertices p ...
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Point groups of order at most eight and their conjugacy class graphs
... called conjugacy class graph. In order to obtain the conjugacy class graph, the concept of conjugacy class is ...theory, conjugacy class is a method of partitioning the elements of a group in ...
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Some problems about products of conjugacy classes in finite groups
... non-trivial conjugacy class C of G is called the covering number of ...non-trivial conjugacy classes of it and n < 6, there exists an irreducible character that does not satisfy the equation of Theorem ...
10
Conjugacy separability of certain HNN extensions with normal associated subgroups
... Abstract. In this paper, we will give necessary and sufficient conditions for certain HNN extensions of subgroup separable groups with normal associated subgroup to be conjugacy separable. In fact, we will show that ...
16
The conjugate graph and conjugacy class graph of order at most 32
... The conjugacy classes of these groups are then applied into graph ...the conjugacy class graph is a graph whose vertices are non-central of a group that is two vertices are connected if their cardinalities ...
9
The commutativity degree of some nonabelian two-groups with a cyclic subgroup of index four
... The determination of the abelianness of a finite group has been introduced for symmetric groups, finite groups and finite rings in the last fifty years. The abelianness of a group or known as the commutativity degree of ...
19
One-prime power hypothesis for conjugacy class sizes
... Consider the following property. Let G be a finite non-abelian group with proper normal subgroup N and suppose all the conjugacy class sizes outside of N have equal sizes. Isaacs proved that in this situation then ...
7