nilpotency class
The homological functors of some finite two-generator two-groups of nilpotency class two
... of nilpotency class two and their nonabelian tensor square have been determined by Kappe et ...of nilpotency class two of those types (later will be called Type 3) are computed in this ...of ...
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Conjugacy and order classes of two-generator p-groups of nilpotency class two
... For nilpotent groups, researchers only estimate the number of conjugacy classes by giving the lower bound of these groups. The difficulty of providing a formula for the exact number of conjugacy classes of these groups ...
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Capability and homological functors of infinite two - generator groups of nilpotency class two
... In Chapter 4, results on the homological functors of infinite 2-generator groups of nilpotency class two are presented. The results are separated in different theorems based on the types of groups and the ...
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The exact number of conjugacy classes for 2 - generator p - groups of nilpotency class 2
... nilpotent groups that have been classified. In this research, 2-generator p- groups of nilpotency class 2 (p an odd prime) are considered. These groups were classified by Bacon and Kappe in 1993 and Kappe, ...
17
Some applications of Two-Generator p-Groups of Nilpotency class two
... of nilpotency class two, up to isomorphisms in Theorem ...of nilpotency class two including their nonabelian tensor squares and exterior ...
11
nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2
... In this section, we again consider all finite non-abelian 2-generator p-groups (p 6= 2) of nilpotency class two and this time we investigate n-centrality for them.. Theorem 3.1.[r] ...
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Conjugacy classes and graphs of two-groups of nilpotency class two
... of nilpotency class two where p is an odd prime, while in this research, the exact number of conjugacy classes of 2-generator 2-groups of class two are ...
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Irreducible representation of finite metacyclic group of nilpotency class two of order 16
... Certain classes of metacyclic groups have been given much emphasis by many authors. In 2005, Beuerle [9] classified the non-abelian metacyclic p-groups of class at least 3 where p is prime. The irreducible ...
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On Some Problems in Group Theory of Probabilistic Nature
... The determination of the abelianness of a nonabelian group has been introduced for symmetric groups by Erdos and Turan in 1968. In 1973, Gustafson did the same for finite groups while MacHale determined the abelianness ...
7
Infinite two generator groups of class two and their non abelian tensor squares
... Proposition 2.1. Let G = a,b be a 2-generator group of nilpotency class less than or equal to 2 of the form G = P b , where b is an infinite cyclic group, and P = [a,b] a is a p-group. Then G is isomorphic ...
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Nilpotency and related properties of group extensions
... A group G satisfying the conditions of Theorem 3.3 or Corollary 3.4 may of course satisfy an Engel condition for a much smaller integer than that given by the corresponding result. The simplest and most extreme example ...
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Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent
... that the Lie algebra of the group M ult(L) of L is a 6-dimensional indecomposable solvable Lie algebra with 4-dimensional nilradical has nilpotency class 2. Since the nilradical of a solvable indecomposable ...
14
The exterior squares of some crystallographic groups
... of nilpotency class two, infinite nonabelian 2-generator groups of nilpotency class two and symmetric groups of order six in [10], [11] and [12] ...
7
Some numerical results on two classes of finite groups
... Polkouei, Some numerical results on finite non-abelian 2- generator p-groups of nilpotency class two , Annals Math Iasi, preprinted.. Sarmin, On some problems in group theory of probabil[r] ...
10
Central extensions of polycyclic groups
... For each of the following groups we list the nilpotency class of the quotient com puted, the Hirsch length (h e ., the number of infinite cyclic factors in a p oly cyclic series), the number of generators ...
110
On unipotent radicals of pseudo-reductive groups
... { D m (H)} m ≥ 0 in the usual way, and D m (H)(¯ k) is the m th term in the lower central series for the abstract group H(¯ k). We say that H is nilpotent if there exists some integer m such that D m (H) = 1. The ...
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Lie Nilpotent Group Algebras: A Survey
... [16] A. Shalev, Applications of dimension and Lie dimension subgroups to mod- ular group algebras, in Proc.Amitsur Conf. in Ring Theory (1989), pp.84−95. [17] A. Shalev, Lie dimension subgroups, Lie nilpotency ...
8
Commutativity degrees and related invariants of some finite nilpotent groups
... Since the commutativity degrees for two-generator p-groups of nilpotency class two have not been found yet, this research computes the exact formula for these degrees using the results by Ahmad [8]. Then ...
23
Learning class to class selectional preferences
... nominal class. This papers extends previous statistical models to class-to-class preferences, and presents a model that learns selectional preferences for classes of ...
8
Threshold Extension of Gallium Arsenide/Aluminum Gallium Arsenide Terahertz Detectors and Switching in Heterostructures
... rdf:List sub-class of Class: rdfs:Resource rdfs:Class sub-class of Class: rdfs:Resource super-class of Class: owl:Class super-class of Class: rdfs:Datatype rdf:Statement sub-class of Cla[r] ...
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