[PDF] Top 20 On finite groups with square-free conjugacy class sizes
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On finite groups with square-free conjugacy class sizes
... of square-free class sizes on a group structure, the study of groups factorised as the product of subgroups was also gaining an increasing interest, especially when they are connected ... See full document
8
Conjugacy classes and graphs of two-groups of nilpotency class two
... the conjugacy classes on the structure of a finite group have been the subject of research over the ...the conjugacy class sizes depend on the order of the commutator ... See full document
24
Orbit counting in conjugacy classes for free groups acting on trees
... a finite metric graph on its universal covering ...is finite, connected and the degree of each vertex is at least ...fixed conjugacy class for which the associated displacement of a given base ... See full document
14
Conjugacy classes contained in normal subgroups: an overview
... the conjugacy classes contained in a normal subgroup and their sizes exert an influence on the normal structure of a finite ...the conjugacy classes, which have been introduced and developed ... See full document
14
Groups with reality and conjugacy conditions
... non-trivial finite class sizes. Ito ([14]) proved that finite groups with this property are ...such groups have been obtained by Camina ([3]) and Dolfi and Jabara ...non-trivial ... See full document
14
Bipartite divisor graph for the set of irreducible character degrees
... a finite set of positive ...of conjugacy class sizes of a finite group and studied various properties of ...those groups for which the bipartite divisor graphs of ... See full document
11
Asymptotics in conjugacy classes for free groups
... in conjugacy classes; however, Parkkonen and Paulin considered orbit counting in conjugacy classes in the setting of variable negative ...in conjugacy classes in the setting of compact manifolds with ... See full document
105
Finite groups with the same conjugacy class sizes as a finite simple group
... Definition 2.9. [17] For a group H, the number of isomorphism classes of groups with the same set OC(H) of order components is denoted by h(OC(H)). If h(OC(H)) = k, then H is called k-recognizable by the set of ... See full document
11
On residually finite semigroups of cellullar automata
... residually finite as a group if and only if it is residually finite as a monoid and that a monoid is residually finite as a monoid if and only if it is residually finite as a ... See full document
7
Embeddings into Thompson's group V and coCF groups
... of groups become wider, and thus harder to comprehend in a meaning- ful ...for groups, but other flavours of correspondence have also been seen (see, ...of groups (for classes of languages) only ... See full document
15
Conjugacy and order classes of two-generator p-groups of nilpotency class two
... GAP [11] is a system for computational discrete algebra, with emphasis on computational group theory. GAP provides a programming language, a library of functions that implement algebraic algorithms written in the GAP ... See full document
16
Finite non-nilpotent groups with few non-normal non-cyclic subgroups
... the Sylow subgroups of G of odd order are non-normal in G. Thus all of their normalizers are cyclic. By Burnside’s theorem, G has a normal q-complement for each odd prime q ∈ π(G). The intersection of all of these normal ... See full document
6
A note on maximal length elements in conjugacy classes of finite coxeter groups
... of conjugacy classes of involutions, a rule to determine the minimal and maximal length in the class is given in [10], and a complete description of the set of elements of maximal and minimal length appears ... See full document
10
Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes
... non-trivial finite or abelian factor ...are finite cyclic extensions of divisible abelian p-groups of finite rank, where p is a prime, hence they are Chernikov ...for groups having a ... See full document
7
Free subgroups of surface mapping class groups
... mapping class group MCG(Σ) of Σ is the group of all homotopy classes of orientation preserving self-homeomorphisms of ...a finite collection of Dehn twists about simple closed curves of ...mapping ... See full document
13
Class sizes
... for class sizes that were set out by the previous Government by having more than one teacher for a larger ...for class sizes as a whole to be ... See full document
14
Locally graded groups with a condition on infinite subsets
... residually finite group which satisfies T ( ∞ ) and suppose that H / ∈ T for each subgroup H of finite index in ...of finite index in L such that G = N ⟨ t ⟩ for some normal subgroup N of G and ... See full document
7
On the Mark and Markaracter Tables of Finite Groups
... Groups are often used to describe symmetries of objects. One goal of Group Theory is how the symmetry of a molecule is related to its physical properties and provides a method to determine the relevant physical ... See full document
14
The exact number of conjugacy classes for 2 - generator p - groups of nilpotency class 2
... The Groups, Algorithms, and Programming (GAP) software is used in this research to gain insight into the 2-generator p-groups of class 2 (p an odd prime), to provide examples and to check the ... See full document
17
Character expansiveness in finite groups
... than conjugacy expansiveness. We say that G is normal conjugacy expansive if for any normal subgroup N and any conjugacy class C of G the normal set N C consists of at least as many ... See full document
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