[PDF] Top 20 The exact number of conjugacy classes for 2 - generator p - groups of nilpotency class 2
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The exact number of conjugacy classes for 2 - generator p - groups of nilpotency class 2
... for 2-generator p-groups of class 2 (p an odd ...these groups can be computed and lead to producing several ... See full document
17
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
Conjugacy classes and graphs of two-groups of nilpotency class two
... Conjugacy classes have already been there since the turn of the ...the number of conjugacy ...the exact number of conjugacy classes for 2-generator ... See full document
24
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 ...the exact number of conjugacy classes of these ... See full document
16
Capability and homological functors of infinite two - generator groups of nilpotency class two
... metacyclic groups and for the non-abelian 2-generator p-groups of class 2, ...non-abelian 2-generator groups of nilpotency class ... See full document
17
On the number of the irreducible characters of factor groups
... for conjugacy classes of G. They defined ξ(N ) to be the number of the conjugacy classes of G, contained in the normal subgroup N and classified finite solvable groups G in which ... See full document
6
Some problems about products of conjugacy classes in finite groups
... non-trivial conjugacy class C of G is called the covering number of ...covering number of each sporadic simple group is at most 6 ([14] and ...these groups, any two non-trivial ... See full document
10
Some applications of Two-Generator p-Groups of Nilpotency class two
... capable groups which are direct sums of cyclic ...other classes of groups, concentrating to some extent on nilpotent group of class ... See full document
11
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
Statistics in conjugacy classes in free groups
... Let be a free group on p ≥ 2 generators acting convex co-compactly on a CAT (− 1 ) space (X, d) (i.e the quotient of the intersection of X and the convex hull of the limit set of is compact). There has been ... See full document
15
Orbit counting in conjugacy classes for free groups acting on trees
... Let G be a finite connected graph. We always assume that each vertex of G has degree at least 3, in which case the fundamental group of G is a free group F on k ≥ 2 generators. We make G into a metric graph by ... See full document
14
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
The commutativity degree of some nonabelian two-groups with a cyclic subgroup of index four
... Chapter 2, the history of the commutativity degree of finite groups is overviewed and some definitions, basic concepts and theorem that are used throughout the dissertation are ...the number of ... See full document
19
Connected components of the category of elementary abelian $p$ subgroups
... maximal number of conjugacy classes of maximal elementary abelian subgroups of rank 2 in a finite p-group G, for an odd prime ...is p if G has rank at least 3 and it is p ... See full document
7
Commutativity degrees and related invariants of some finite nilpotent groups
... 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 ... See full document
23
On Some Problems in Group Theory of Probabilistic Nature
... The Groups, Algorithms & Programming (GAP) Software is used to identify the groups that fulfill the classification and to confirm the number of conjugacy classes of a ...the ... See full document
7
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 ... See full document
9
CH-groups which are finite $p$-groups
... of class 2 or one of the groups in part b) of ...> 2 and H = E 1 ∗ . . . ∗ E ` where each E i isomorphic to a Sylow-p-subgroup of U 3 (q) for some p-power q, ... See full document
15
Central extensions of polycyclic groups
... 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 ... See full document
110
The nonabelian tensor squares and homological functors of some 2-engel groups
... homotopy groups which are used in algebraic topology to classify topological ...the 2-generator groups p -groups of class ... See full document
7
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