A note on locally graded minimal non-metahamiltonian groups

DOI10.3906/mat-1503-31zbMath1424.20033OpenAlexW2757174415MaRDI QIDQ4633354

Sevgi Atlıhan

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1503-31

zbMATH Keywords

metabelian groupsoluble group\(d\)-maximal grouplocally graded minimal non-metahamiltonian group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Local properties of groups (20E25)

Cites Work

• Lifting in Frattini covers and a characterization of finite solvable groups.
• Groups of prime power order. Vol. 2.
• The total Stiefel-Whitney class of a regular representation
• A description of the second mod \(p\) cohomology group of a \(p\)-group
• The \(p\)-group generation algorithm
• Generalizations of Certain Elementary Theorems on p -Groups
• Groups Whose Finite Homomorphic Images are Metahamiltonian
• On a Special Class of Regular p-Groups
• The Minimum Number of Generators of a Finite p -Group
• ON GROUPS WITH ALL SUBGROUPS SUBNORMAL OR SOLUBLE OF BOUNDED DERIVED LENGTH
• Nonsolvable finite groups all of whose local subgroups are solvable
• On a class of doubly transitive groups
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