Tushar Kanta Naik

most citedFinite

p

-groups of conjugate type

{1, p^{3}}

4 citations · 4 across the 1 of their papers we have counts for

collaborators

3 papers

math.GR2018

On the probability distribution associated to commutator word map in finite groups \rom{2}

Tushar Kanta Naik

Let $P (G)$ denotes the set of sizes of fibers of non-trivial commutators of the commutator word map. Here, we prove that $∣ P (G) ∣ = 1$ , for any finite group $G$ of nilpotency class $3…

math.GR2017

Finite $p$ -Groups of Nilpotency Class $3$ with Two Conjugacy Class Sizes

Tushar Kanta Naik, Rahul Dattatraya Kitture, Manoj K. Yadav

It is proved that, for a prime $p > 2$ and integer $n \geq 1$ , finite $p$ -groups of nilpotency class $3$ and having only two conjugacy class sizes $1$ and $p^{n}$ exist if and only if $…

math.GR2017★ 4 cited

Finite $p$ -groups of conjugate type ${1, p^{3}}$

Tushar Kanta Naik, Manoj K. Yadav

We classify finite $p$ -groups, upto isoclinism, which have only two conjugacy class sizes $1$ and $p^{3}$ . It turns out that the nilpotency class of such groups is $2$ .

On the probability distribution associated to commutator word map in finite groups \rom{2}

Finite p-Groups of Nilpotency Class 3 with Two Conjugacy Class Sizes

Finite p-groups of conjugate type {1,p3}

Finite $p$ -Groups of Nilpotency Class $3$ with Two Conjugacy Class Sizes

Finite $p$ -groups of conjugate type ${1, p^{3}}$