Ensuring a Group is Weakly Nilpotent

DOI10.1080/00927872.2012.700977zbMath1281.20030OpenAlexW2171407460MaRDI QIDQ4908977

Mohammad Zarrin

Publication date: 8 March 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.700977

zbMATH Keywords

finite simple groupstwo-generator subgroupssolubilitycombinatorial conditions on subsetsweakly nilpotent groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Finite groups with a nilpotency condition, Applying extremal graph theory to a question on finite groups, Finite groups with a subnormality condition, Applying the Kövári-Sós-Turán theorem to a question in group theory, A commutativity condition on subsets of rings, Nonnilpotent subsets in the Suzuki groups, A generalization of Neumann's question, A commutativity property for rings

Cites Work

• The converse of Schur's theorem
• Groups without faithful transitive permutation representations of small degree
• Groups satisfying an Engel condition.
• Non-commuting graph of a group.
• Ensuring commutativity of finite groups
• Non-Nilpotent Graph of a Group
• Ensuring a finite group is supersoluble
• Groups covered by finitely many nilpotent subgroups
• Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups
• B.H. Neumann's Question on Ensuring Commutativity of Finite Groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I