On metacyclic subgroups of finite groups

DOI10.22108/ijgt.2017.21480zbMath1446.20029OpenAlexW2736480132MaRDI QIDQ5124044

Adolfo Ballester-Bolinches

Publication date: 17 September 2020

Full work available at URL: http://ijgt.ui.ac.ir/article_21480_00a08e7598db6145b7dad984861be684.pdf

zbMATH Keywords

Sylow subgroupsfinite groupmetacyclic groups2-generator groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Generators, relations, and presentations of groups (20F05) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Sylow-metacyclic groups and Q-admissibility
• On maximal and Sylow subgroups of finite solvable groups.
• Finite groups in which every two elements generate a soluble subgroup
• Subgroup lattices of groups
• Some sufficient conditions for a finite group to be supersolvable.
• Minimal nicht überauflösbare, endliche Gruppen
• Finite groups with metacyclic Sylow 2-subgroups
• Subfields of division rings. I
• Finite groups with many metacyclic subgroups
• On monotone 2-groups
• Generalizations of Certain Elementary Theorems on p -Groups
• The number of generators of finite p-groups
• On finite groups with metacyclic Sylow $p$-subgroups
• ON SOLVABLE GROUPS OF FINITE ORDER
• Groups with Metacyclic Sylow 2-Subgroups
• Endliche Gruppen I

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