20 citations · 81 across the 29 of their papers we have counts for
4 papers · 1 filter
Central quotient versus commutator subgroup of groups
Manoj K. Yadav
In 1904, Issai Schur proved the following result. If is an arbitrary group such that is finite, where denotes the center of the group , then the commutator…
On finite -groups whose automorphisms are all central
Vivek K. Jain, Manoj K. Yadav
An automorphism of a group is said to be central if commutes with every inner automorphism of . We construct a family of non-special finite -groups having abelian…
Class preserving automorphisms of finite -groups: A survey
Manoj K. Yadav
In this short survey article, we try to list maximum number of known results on class preserving automorphisms of finite -groups. We conclude the survey with some interesting (a…
On finite capable -groups of class 2 with cyclic commutator subgroups
Manoj K. Yadav
We study finite capable -groups of nilpotency class 2 such that the commutator subgroup of is cyclic and the center of is contained in the Frattini subgroup…