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math.GR2013★ 7 cited
Finite p-groups with central automorphism group of minimal order
Deepak Gumber, Hemant Kalra
We study finite p-groups G of coclass upto 4 for which the group Aut_z(G) of all central automorphisms of G is of minimal possible order. As a consequence, we obtain very short and…
math.GR2013★ 1 cited
Automorphisms of groups and converse of Schur's theorem
Deepak Gumber, Hemant Kalra, Sandeep Singh
An automorphism of a group G is called an IA-automorphism if it induces the identity automorphism on the abelianized group G/G'. Let IA(G) denote the group of all IA-automorphisms…