AbstractIn this paper, I will introduce a link between the volume of a finite abelian p-group in the Cohen–Lenstra measure and partitions of a certain type. These partitions will be classified by the output of an algorithm. As a corollary, I will give a formula (7.2) for the probability of a p-group to have a specific exponent
Probabilistic Combinatorics is an interface between Probability and Discrete Mathematics. Initiated ...
AbstractFor any probability distribution D = {α(n)} on Z+, we define β(m) = ∑j=1∞ α(jm), the probabi...
The determination of the abelianness of a nonabelian group has been introduced for symmetric groups ...
In this paper, I will introduce a link between the volume of a finite p-group in the Cohen-Lenstra m...
AbstractIn number theory, great efforts have been undertaken to study the Cohen–Lenstra probability ...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
For a finite group group, denote by V(G) the smallest positive integer k with the property that the ...
We are now witnessing a rapid growth of a new part of group theory which has become known as "...
AbstractThe study of asymptotic properties of the conjugacy class of a random element of the finite ...
Let G be a finite soluble group of order m and let ω(xi, ⋯, xn) be a group word. Then the probabilit...
AbstractThe Cohen–Lenstra heuristic is a universal principle that assigns to each group a probabilit...
In this thesis, we investigate the asymptotics of random partitions chosen according to probability ...
Let p = PNn be the probability of a successful allocation of n groups of distinguishable balls in N ...
The coprime probability and graph have been studied for various groups by many researchers focusing ...
Introduction. Let (G,+) be a finite Abelian group of order n. Let us choose k arbitrary elements gl,...
Probabilistic Combinatorics is an interface between Probability and Discrete Mathematics. Initiated ...
AbstractFor any probability distribution D = {α(n)} on Z+, we define β(m) = ∑j=1∞ α(jm), the probabi...
The determination of the abelianness of a nonabelian group has been introduced for symmetric groups ...
In this paper, I will introduce a link between the volume of a finite p-group in the Cohen-Lenstra m...
AbstractIn number theory, great efforts have been undertaken to study the Cohen–Lenstra probability ...
This paper applies the theory of probability to finite groups. Three problems are addressed: the pro...
For a finite group group, denote by V(G) the smallest positive integer k with the property that the ...
We are now witnessing a rapid growth of a new part of group theory which has become known as "...
AbstractThe study of asymptotic properties of the conjugacy class of a random element of the finite ...
Let G be a finite soluble group of order m and let ω(xi, ⋯, xn) be a group word. Then the probabilit...
AbstractThe Cohen–Lenstra heuristic is a universal principle that assigns to each group a probabilit...
In this thesis, we investigate the asymptotics of random partitions chosen according to probability ...
Let p = PNn be the probability of a successful allocation of n groups of distinguishable balls in N ...
The coprime probability and graph have been studied for various groups by many researchers focusing ...
Introduction. Let (G,+) be a finite Abelian group of order n. Let us choose k arbitrary elements gl,...
Probabilistic Combinatorics is an interface between Probability and Discrete Mathematics. Initiated ...
AbstractFor any probability distribution D = {α(n)} on Z+, we define β(m) = ∑j=1∞ α(jm), the probabi...
The determination of the abelianness of a nonabelian group has been introduced for symmetric groups ...
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