Finite groups whose element orders are consecutive integers
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Publication:1178897
DOI10.1016/0021-8693(91)90271-9zbMath0745.20022OpenAlexW2059084529MaRDI QIDQ1178897
Publication date: 26 June 1992
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(91)90271-9
Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34)
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Cites Work
- Unnamed Item
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- A characterization of the simple group He
- Prime graph components of finite groups
- On 2-groups admitting \(A_5\) of \(A_6\) with an element of order 5 acting fixed point freely
- p-solvable doubly transitive permutation groups
- On finite simple groups of characteristic 2 type
- Finite Groups in Which Every Element Has Prime Power Order
- Automorphisms of Finite Linear Groups
- A characteristic property ofA 8
- Some Evidence for the Existence of a New Simple Group
- ENDLICHE GRUPPEN, DIE KEIN ELEMENT DER ORDNUNG 6 ENTHALTEN
- Endliche Gruppen I
- Groups Whose Elements Have Bounded Orders
- On a class of doubly transitive groups