On finite capable p-groups of class 2 with cyclic commutator subgroups

2010/01/21 by Manoj K. Yadav, Yadav, Manoj K.
Mathematics · #20D15 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20D15

paper · pdf · doi:10.48550/arxiv.1001.3779

4 pages, first version

arxiv created 2010/01/21 · arxiv updated 2010/02/26

Abstract

We study finite capable p-groups G of nilpotency class 2 such that the commutator subgroup γ₂(G) of G is cyclic and the center of G is contained in the Frattini subgroup of G.

Related

• Finite groups with a certain number of cyclic subgroups II
• Capability of certain nilpotent products of cyclic groups
• Commutators in finite p-groups with 2-generator derived subgroup
• On the orders of generators of capable p-groups
• A note on the number of cyclic subgroups of a finite group