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math.GR2026
Determinant for automorphisms of Zappa-Szép product of groups
Ratan Lal, Alka Choudhary, Vipul Kakkar
A description of the endomorphisms of Zappa-Szép products of two groups as a group of matrices of maps is discussed in \cite{detsem}. Using this description, we have st…
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…