1 citations · 1 across the 5 of their papers we have counts for
6 papers
On the Quartic-free A-groups
Prashun Kumar
A finite group is said to be quartic-free if its order is not divisible by of any prime . A finite group is called an -group if all of its Sylow subgroups are abelian.…
On the normal subgroups of a split extension
Prashun Kumar
Let and be a finite groups with . In this paper we describe normal subgroups of via normal subgroups of and . Let and be…
Counting Irreducible Representations of a Finite Abelian Group
Thomas Breuer, Prashun Kumar, Geetha Venkataraman
Let be a power of a prime , be a finite abelian group, where does not divide ,and let be a positive integer. In this paper we find a formula for the number…
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 denote the isomorphism classes of solvable cube-free groups of order …
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…
Conjugacy classes of completely reducible cyclic subgroups of GL
Prashun Kumar, Geetha Venkataraman
Let be a positive integer such that does not divide where is prime. In this paper we find the number of conjugacy classes of completely reducible cyclic subgroups i…