Vipul Kakkar

activity

20122026

most citedAutomorphism groups of groups of order

p^{2} q^{2}

1 citations · 1 across the 9 of their papers we have counts for

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12 papers · 1 filter

math.GR2026

Commutator identities, Lie product identities, and Multiplicative Lie algebras

Vipul Kakkar, Ramji Lal, Ravindra Prasad Shukla +1

The aim of this paper is to give a formal meaning of universal commutator identities and to see as to how the structure of multiplicative Lie algebra on a group is a potential cand…

math.GR2026

Impartial games on two finite Groups

Ratan Lal, Muskan, Vipul Kakkar

In this paper, we study impartial achievement games and impartial avoidance games introduced by Anderson and Harary. Using the criteria of maximal subgroups, we study the game for…

math.GR2025

Determinant for automorphisms of semidirect product of groups

Ratan Lal, Alka Choudhary, Vipul Kakkar

A description of the endomorphisms of semidirect products of two groups as a group of $2 \times 2$ matrices of maps is already known. Using this description, we have studied the con…

math.GR2024

Semidirect Product of Loops with Groups

Ratan Lal, Ramjash Gurjar, Vipul Kakkar

In this paper, we have studied the loops which are the semidirect products of a loop and a group. Also, the cummutant, nuclei and the center of such loops are studied.

math.GR2022★ 1 cited

Automorphism groups of groups of order $p^{2} q^{2}$

Ratan Lal, Vipul Kakkar

In this paper, we have computed the automorphism groups of all groups of order $p^{2} q^{2}$ , where $p$ and $q$ are distinct primes.

math.GR2021

Automorphisms of Zappa-Szép Product