Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Kakkar, Vipul"'
Autor:
Malviy, Siddharth, Kakkar, Vipul
The commuting graph ${\Gamma(G)}$ of a group $G$ is the simple undirected graph with group elements as a vertex set and two elements $x$ and $y$ are adjacent if and only if $xy=yx$ in $G$. By eliminating the identity element of $G$ and all the domina
Externí odkaz:
http://arxiv.org/abs/2411.04495
Autor:
Malviy, Siddharth, Kakkar, Vipul
In this paper, we define a new hypergraph $\mathcal{H(V,E)}$ on a loop $L$, where $\mathcal{V}$ is the set of points of the loop $L$ and $\mathcal{E}$ is the set of hyperedges $e=\{x,y,z\}$ such that $x,y$ and $z$ associate in the order they are writ
Externí odkaz:
http://arxiv.org/abs/2408.16459
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.
Externí odkaz:
http://arxiv.org/abs/2406.13401
Autor:
Lal, Ramji, Kakkar, Vipul
In this paper, we study gyro-groups associated to groups, group extensions admitting gyro-sections, and corresponding co-homologies. We also describe the obstructions in terms of co-homomology. The notion of gyro-Schur Multiplier and that of gyro-Mil
Externí odkaz:
http://arxiv.org/abs/2302.09366
Autor:
Lal, Ratan, Kakkar, Vipul
In this paper, the central automorphism group of the Zappa-Sz\'{e}p product of two groups is obtained.
Externí odkaz:
http://arxiv.org/abs/2212.06592
Autor:
Lal, Ratan, Kakkar, Vipul
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.
Externí odkaz:
http://arxiv.org/abs/2210.10708
Autor:
Kakkar Vipul, Lal Ratan
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 15, Iss 2, Pp 288-303 (2023)
In this paper, we have found the automorphism group of the Zappa-Szép product of two groups fixing a subgroup. We have computed these automorphisms for a subgroup of order p2 of a group G which is the Zappa-Szép product of two cyclic groups in whic
Externí odkaz:
https://doaj.org/article/4a9d083e3a1a4c0abc7d03a79ffdeb45
Autor:
Lal, Ratan, Kakkar, Vipul
In this paper, we have found the automorphism group of the Zappa-Sz\'{e}p product of two groups. Also, we have computed the automorphism group of the Zappa-Sz\'{e}p product of a cyclic group of order $m$ and a cyclic group of order $p^{2}$, where $p$
Externí odkaz:
http://arxiv.org/abs/2110.11743
Autor:
Lal, Ratan, Kakkar, Vipul
In this paper, we describe the automorphism group of semidirect product of two groups that fixes the non-normal subgroup of it. We have computed these automorphisms for the non-abelian metacyclic $p$-group and non-abelian $p$-groups $(p\ge 5)$ of ord
Externí odkaz:
http://arxiv.org/abs/2107.03976
Autor:
Lal, Ratan, Kakkar, Vipul
In this paper, we study the properties of the associated gyrogroup ${^\circ}G$ of a given group $G$ of nilpotency class $3$. We have proved that if $3$ does not divide the order of the group $G$, then the nilpotency class of the associated gyrogroup
Externí odkaz:
http://arxiv.org/abs/2104.12994