Nabajit Talukdar

activity

20242026

collaborators

4 papers

math.RA2026

Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n

Nabajit Talukdar

The zero divisor graph of a commutative ring $R$ with unity is a graph whose vertices are the nonzero zero-divisors of the ring, with two distinct vertices being adjacent if their…

math.GR2025

p-Groups in which kernels of the non-linear irreducible characters are of equal order

Nabajit Talukdar

For an irreducible character $I ¨ $ of a finite group $G$ , its kernel is defined as $ker I ¨ = {g \in G : I ¨ (g) = I ¨ (1)}$ . In this paper we characterize the finite groups of prime…

math.GR2024

Some results on GVZ-groups with two character degrees

Nabajit Talukdar, Kukil Kalpa Rajkhowa

We investigate the finite groups $G$ for which $I ¨ (1)^{2} = ∣ G : Z (I ¨ ) ∣$ for all characters $I ¨ \in I r r (G)$ and $∣ c d (G) ∣ = 2$ , where $c d (G) = {I ¨ (1) ∣ I ¨ \in I r r (G)}$ . We call such a group…

math.GR2024

GVZ-groups with two character degrees

Nabajit Talukdar, Kukil Kalpa Rajkhowa

We investigate the finite groups $G$ for which $I ¨ (1)^{2} = ∣ G : Z (I ¨ ) ∣$ for all characters $I ¨ \in I r r (G)$ and $∣ c d (G) ∣ = 2$ . We obtain some alternate characterizations of these groups a…