ON THE EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER TWO IN FINITE 2-GROUPS

DOI10.1017/S0004972712000706zbMath1271.20024MaRDI QIDQ4914598

A. R. M. J. U. Jamali, M. Viseh

Publication date: 15 April 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groupsfinite 2-groupspowerful \(p\)-groupsnoninner automorphismscyclic commutator subgroup

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (13)

ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS ⋮ NONINNER AUTOMORPHISMS OF ORDER IN FINITE -GROUPS OF COCLASS 2, WHEN ⋮ On noninner automorphisms of finite p-groups that fix the Frattini subgroup elementwise ⋮ Non-inner automorphisms of order \(p\) in finite \(p\)-groups of coclass 3 ⋮ On semicomplete finite \(p\)-groups ⋮ Noninner automorphisms of order \(p\) in some finite \(p\)-groups ⋮ Noninner automorphisms of order \(p\) for finite \(p\)-groups of restricted coclass ⋮ ON NONINNER AUTOMORPHISMS OF FINITE NONABELIAN -GROUPS ⋮ EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER p IN SOME FINITE p-GROUPS ⋮ On noninner automorphisms of finite $p$-groups that fix the center elementwise ⋮ On noninner automorphisms of 2-generator finite p-groups ⋮ A note on the existence of noninner automorphisms of order p in some finite p-groups ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Endomorphisms of two-generated metabelian groups that induce the identity modulo the derived subgroup
• Frattinian \(p\)-groups
• On finite \(p\)-groups with cyclic commutator subgroup
• The theory of finite groups. An introduction.
• Noninner automorphisms of order \(p\) of finite \(p\)-groups
• Finite \(p\)-groups with a cyclic commutator subgroup
• Powerful \(p\)-groups have non-inner automorphisms of order \(p\) and some cohomology.
• Finite \(p\)-groups of class 2 have noninner automorphisms of order \(p\).
• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• Solved problems in the Kourovka Notebook
• EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER p IN SOME FINITE p-GROUPS
• Outer Automorphisms in Nilpotent p -Groups of Class 2

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