G. Venkataraman

activity

20052024

most citedGroups in which Squares and Cubes Commute

4 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

math.GR2024★ 1 cited

Conjugacy classes of completely reducible cyclic subgroups of GL $(2, q)$

Prashun Kumar, Geetha Venkataraman

Let $m$ be a positive integer such that $p$ does not divide $m$ where $p$ is prime. In this paper we find the number of conjugacy classes of completely reducible cyclic subgroups i…

math.GR2024

Exponent-Critical Groups

Simon R. Blackburn, William Cocke, Andrew Misseldine +1

We define and investigate the property of being `exponent-critical' for a finite group. A finite group is said to be exponent-critical if its exponent is not the least common multi…

math.GR2019

Enumeration of Groups in Varieties of $A$ -groups: A survey

Geetha Venkataraman

Let $S$ be a class of groups and let $f_{S} (n)$ be the number of isomorphism classes of groups in $S$ of order $n$ . Let $f (n)$ count the number of groups of order $n$ up to isomorph…

math.GR2016★ 4 cited

Groups in which Squares and Cubes Commute

Geetha Venkataraman

If for all $a, b$ in a group $G$ , we have that $a^{2} b^{2} = b^{2} a^{2}$ and $a^{3} b^{3} = b^{3} a^{3}$ then does the group necessarily have to be abelian? This paper shows that the answer is affir…

math.GR2009

On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups

Geetha Venkataraman

This paper deals with sufficiency conditions for irreducibility of certain induced modules. We also construct irreducible representations for a group $G$ over a field $K$ …

math.GR2005

On finite groups whose every proper normal subgroup is a union of a given number of conjugacy classes

Ali Reza Ashrafi, Geetha Venkataraman

Let $G$ be a finite group and $A$ be a normal subgroup of $G$ . We denote by $n cc (A)$ the number of $G$ -conjugacy classes of $A$ and $A$ is called $n$ -decomposable, if $n cc (A) = n$ . S…

Conjugacy classes of completely reducible cyclic subgroups of GL(2,q)

Exponent-Critical Groups

Enumeration of Groups in Varieties of A-groups: A survey

Groups in which Squares and Cubes Commute

On irreducibility of induced modules and an adaptation of the Wigner--Mackey method of little groups

On finite groups whose every proper normal subgroup is a union of a given number of conjugacy classes

Conjugacy classes of completely reducible cyclic subgroups of GL $(2, q)$

Enumeration of Groups in Varieties of $A$ -groups: A survey