Non-Nilpotent Graph of a Group

DOI10.1080/00927870903386460zbMath1216.20018arXiv0910.0098OpenAlexW2027341098MaRDI QIDQ3079286

Alireza Abdollahi, Mohammad Zarrin

Publication date: 2 March 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0098

zbMATH Keywords

regular graphsfinite nilpotent groupsgraphs associated to groupshypercenter of groupsnilpotentizers

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (21)

Finite groups with a nilpotency condition ⋮ Non-solvable graphs of groups ⋮ On the Genus of the Nilpotent Graphs of Finite Groups ⋮ The non‐F graph of a finite group ⋮ The Engel graph of a finite group ⋮ A few remarks on the theory of non-nilpotent graphs ⋮ Unnamed Item ⋮ Ensuring a Group is Weakly Nilpotent ⋮ Solvable graphs of finite groups ⋮ Graphs defined on groups ⋮ The non-nilpotent graph of a semigroup. ⋮ A DESCRIPTION OF A CLASS OF FINITE SEMIGROUPS THAT ARE NEAR TO BEING MAL'CEV NILPOTENT ⋮ Nonnilpotent subsets in the Suzuki groups ⋮ The diameter of the non-nilpotent graph of a finite group ⋮ ON THE PROBABILITY OF GENERATING NILPOTENT SUBGROUPS IN A FINITE GROUP ⋮ On the nilpotent conjugacy class graph of groups ⋮ On the \(\sigma \)-nilpotent hypercenter of finite groups ⋮ On the soluble graph of a finite group ⋮ ON GROUPS WITH A FINITE NUMBER OF NORMALISERS ⋮ N-critical graph of finite groups ⋮ Finite semigroups that are minimal for not being Malcev nilpotent

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Engel graph associated with a group.
• Non-commuting graph of a group.
• Thompson-like characterizations of the solvable radical.
• Finite soluble groups with an Engel condition
• Engel Elements of Soluble Groups
• Finite Groups in Which Every Element Has Prime Power Order
• OnE-groups in the sense of Peng
• Groups covered by finitely many nilpotent subgroups
• Endliche Gruppen I
• Noncyclic Graph of a Group

This page was built for publication: Non-Nilpotent Graph of a Group