[PDF] Top 20 Some applications of Two-Generator p-Groups of Nilpotency class two
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Some applications of Two-Generator p-Groups of Nilpotency class two
... of some of the groups classified in Theorem ...these groups are capable. Some results have been obtained by earlier ...special p-group is capable if and only if it is either dihedral of ... See full document
11
Conjugacy and order classes of two-generator p-groups of nilpotency class two
... 2-generator groups of class ...2-generator p-groups of class 2, p an odd ...corrected some technical errors on parameters in original 1993 ... See full document
16
Commutativity degrees and related invariants of some finite nilpotent groups
... 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 ...of ... See full document
23
Irreducible representation of finite metacyclic group of nilpotency class two of order 16
... finite groups. It is also a basic tool with applications in many areas of mathematics and statistics, pure and applied ...Abelian groups. Fourier analysis on finite groups has also an ... See full document
18
Capability and homological functors of infinite two - generator groups of nilpotency class two
... of two-generator p- groups of class two and the infinite ...finite groups in the classification of finite 2-generator groups of nilpotency ... See full document
17
Deep Transfers of p Class Tower Groups
... number p ≥ 2 , let G be a finite p ...) p p with rank two. For applications in number theory, concerning p -class towers, the Artin pattern has proved to be a ... See full document
15
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 ...These groups were classified by ... See full document
17
Infinite two generator groups of class two and their non abelian tensor squares
... 2-generator groups of nilpotency class two and the determination of their non-abelian tensor ...2-generator p-groups of class two, for p an odd ... See full document
11
Enumeration of some two-generator groups of prime power order
... u p s . The theory of these groups is w e l l established [see H u p p e r t , 1 9 6 7 , K a p ...finite p-group is nilpotent but that the converse is not necessarily ...the ... See full document
92
The nonabelian tensor squares and homological functors of some 2-engel groups
... 2-generators groups of nilpotency class two has been conducted by Mohd Ali et ...the groups and their nonabelian tensor squares. In this research, Groups, Algorithm and ... See full document
7
On Some Problems in Group Theory of Probabilistic Nature
... finite groups in general and they showed that this probability cannot be arbitrarily close to 1 if G is a finite nonabelian ...nonabelian groups. The classification of 2-generator 2-groups of ... See full document
7
Automorphism groups of metacyclic groups of class two
... familiar groups have arisen naturally in the form of automorphism groups of some mathematical and nonmathematical ...automorphism groups has grown there is no exception to the groups ... See full document
17
Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent
... centrally nilpotency of class two prop- erty for connected topological proper loops L of dimension ≤ 3 which have an at most six-dimensional solvable indecomposable Lie group as their multiplication ... See full document
14
Central extensions of polycyclic groups
... following groups we list the nilpotency class of the quotient com puted, the Hirsch length (h e ...a p oly cyclic series), the number of generators in the p olycyclic presentation, ... See full document
110
The homological functors of some finite two-generator two-groups of nilpotency class two
... of Groups, Algorithms and Programming (GAP) software in the computation of the ...results. Some GAP programmes that generate the general code of the nonabelian tensor square and the homological functors of ... See full document
20
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] ... See full document
10
Conjugacy classes and graphs of two-groups of nilpotency class two
... finite groups has already been considered by many authors [1–5] since Landau’s observation in ...2-generator p-groups of nilpotency class two where p is an odd ... See full document
24
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] ... See full document
11
p Capitulation over Number Fields with p Class Rank Two
... Remark 3.3. Algorithm 3.3 is independent of the p-class rank of the base field K. In order to obtain the adequate coercion of ideals, the sequence seqRelOrd must be used for computing the transfer kernel ... See full document
14
Design and synthesis of two azetidin-haloperidol derivatives using some strategies
... In this study is reported a straight forward route for synthesis of two azetidin-haloperidol derivatives using some strategies. The first stage was achieved by the synthesis of an azetidine derivative (3) ... See full document
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