6 papers
On groups with a given central factor
Sekhar Jyoti Baishya
We have classified, upto isoclinism, certain groups with a given central factor. As an application, we classify, upto isoclinism, groups having at the most nine element centralizer…
On groups with same number of centralizers
Sekhar Jyoti Baishya
In this paper, among other results, we give some sufficient conditions for every non-abelian subgroup of a group to be isoclinic with the group itself. It is also seen that under c…
On finite groups with exactly two non-abelian centralizers
Sekhar Jyoti Baishya
In this paper, we characterize finite group with unique proper non-abelian element centralizer. This improves \cite[Theorem 1.1]{nab}. Among other results, we have proved that…
On Leinster groups of order pqrs
Sekhar Jyoti Baishya
A finite group is said to be a Leinster group if the sum of the orders of its normal subgroups equals twice the order of the group itself. Let be primes. We prove that if…
On finite CG-groups
Sekhar Jyoti Baishya
A finite group is a CG-group if , where is the commutator subgroup and Cent is the set of distinct element centralizers of . In this p…
On Capable groups of order p^2q
Sekhar Jyoti Baishya
A group is said to be capable if it is the central factor of some group. In this paper, among other results we have characterized capable groups of order , for any distinct p…