Geetha Venkataraman

activity

20242026

collaborators

7 papers

math.GR2026

On the Symmetric Normaliser Graph of a Group

Surbhi, Geetha Venkataraman

In this paper we introduce the symmetric normaliser graph of a group $G$ . The vertex set of this graph consists of elements of the group. Vertices $x$ and $y$ are adjacent if $x$ l…

math.GR2025

Enumeration of solvable cube-free groups and counting certain types of split extensions

Prashun Kumar, Geetha Venkataraman

A group is said to be cube-free if its order is not divisible by the cube of any prime. Let $f_{c f, so l} (n)$ denote the isomorphism classes of solvable cube-free groups of order $n$ …

math.GR2025

Counting Irreducible Representations of a Finite Abelian Group

Thomas Breuer, Prashun Kumar, Geetha Venkataraman

Let $q$ be a power of a prime $p$ , $G$ be a finite abelian group, where $p$ does not divide $∣ G ∣$ ,and let $n$ be a positive integer. In this paper we find a formula for the number…

math.GR2024

Infinite groups with isomorphic power graph and commuting graph

Surbhi, Geetha Venkataraman

In this paper, we investigate certain graphs defined on groups, with a focus on infinite groups. The graphs discussed are the power graph, the enhanced power graph, and the commuti…

math.GR2024

Enumeration of groups in some special varieties of $A$ -groups

Arushi, Geetha Venkataraman

We find an upper bound for the number of groups of order $n$ up to isomorphism in the variety $G = A_{p} A_{q} A_{r}$ , where $p$ , $q$ and $r$ are distinct primes. We also find a bound on t…

math.GR2024

Conjugacy classes of completely reducible cube-free solvable p'-subgroups of GL(2, q)

Prashun Kumar, Geetha Venkataraman

Let m be a cube-free positive integer and let p be a prime such that p does not divide m. In this paper we find the number of conjugacy classes of completely reducible solvable cub…

On the Symmetric Normaliser Graph of a Group

Enumeration of solvable cube-free groups and counting certain types of split extensions

Counting Irreducible Representations of a Finite Abelian Group

Infinite groups with isomorphic power graph and commuting graph

Enumeration of groups in some special varieties of A-groups

Conjugacy classes of completely reducible cube-free solvable p'-subgroups of GL(2, q)

Enumeration of groups in some special varieties of $A$ -groups