[PDF] Top 20 Conjugacy and order classes of two-generator p-groups of nilpotency class two
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Conjugacy and order classes of two-generator p-groups of nilpotency class two
... nilpotent groups, researchers only estimate the number of conjugacy classes by giving the lower bound of these ...of conjugacy classes of these groups is because the structure of ... See full document
16
Recognizing L2(p) by its order and one special conjugacy class size
... finite groups, especially finite simple groups, such as quantitative characterizations by group order and element orders, by the set of lengths of conjugacy classes, by dimensions of ... See full document
10
Irreducible representation of finite metacyclic group of nilpotency class two of order 16
... Abelian groups. Fourier analysis on finite groups has also an important role in probability and statistics, especially in the study of random walks on ...of groups itself, linear representations are ... See full document
18
On groups with two isomorphism classes of central factors
... of order p, a ...= p and so B is nilpotent and then abelian by Lemma 2.3 iv). So | G A | = p, where p is a ...x p ∈ ...and p are coprime, c ∈ ... See full document
8
On finite groups with square-free conjugacy class sizes
... all conjugacy classes by those referring only to a smaller set of elements in G: Theorem ...let p be the smallest prime dividing the order of G. Assume that p 2 does not divide x G for ... See full document
8
The conjugacy classes of metabelian groups of order at most 24
... denotes conjugacy class of the element x in G. Conjugacy class is an equivalence relation and it partitions the group into disjoint equivalence classes or ...metabelian groups of ... See full document
5
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
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
Capability and homological functors of infinite two - generator groups of nilpotency class two
... The first chapter serves as an introduction to the whole thesis. This chapter introduces the concepts of capability and homological functors of groups. Chapter 1 also includes research background, problem ... See full document
17
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
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
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 ... See full document
29
Statistics in conjugacy classes in free groups
... the conjugacy class of x, so we may write (C) and C ...homotopy class determined by C ...non-trivial conjugacy classes C ...has two closed paths whose lengths have irrational ... See full document
15
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 ... See full document
105
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
Countably recognizable classes of groups with restricted conjugacy classes
... 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 of finite ...relevant ... See full document
12
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
Some applications of Two-Generator p-Groups of Nilpotency class two
... Abstrak Klasifikasi bagi semua kumpulan dengan dua penjana yang mempun- yai kelas nilpoten dua telah diperolehi oleh Nor Haniza Sarmin dalam tahun 2000. Kajian yang terdahulu bagi kumpulan terhingga telah dilakukan oleh ... See full document
11
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
The homological functors of some finite two-generator two-groups of nilpotency class two
... 17. Mat Hassim, H.I., Sarmin, N.H., Mohd Ali, N.M. and Mohamad, M.S., “The Nonabelian Tensor Squares and Homological Functors of the Dihedral Group of Order Eight”, Proceedings of Seminar Kebangsaan Aplikasi Sains ... See full document
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