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math.GR2021
Automorphisms of Zappa-Szép Product
Ratan Lal, Vipul Kakkar
In this paper, we have found the automorphism group of the Zappa-Szép product of two groups. Also, we have computed the automorphism group of the Zappa-Szép product of a cyclic gro…
math.GR2021
Automorphisms of semidirect products fixing the non-normal subgroup
Ratan Lal, Vipul Kakkar
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-abe…
math.GR2021
Gyrogroups associated with groups
Ratan Lal, Vipul Kakkar
In this paper, we study the properties of the associated gyrogroup of a given group of nilpotency class . We have proved that if does not divide the order of…