3 papers
math.GR2015
Finite -groups with minimum number of central automorphisms fixing the center element-wise
Deepak Gumber, Mahak Sharma
We characterize finite -groups of order up to for which the group of central automorphisms fixing the center element-wise is of minimum possibe order.
math.GR2014
Class-preserving automorphisms of some finite -groups
Mahak Sharma, Deepak Gumber
Let be a finite -group of order , where is a prime. We give necessary and sufficient conditions on such that has a non-inner class-preserving automorphism.…
math.GR2011
On central automorphisms of finite p-groups
Deepak Gumber, Mahak Sharma
We characterize all finite p-groups G of order p^n(n\leq 6), where p is a prime for n\leq 5 and an odd prime for n = 6, such that the center of the inner automorphism group of G is…