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On generalization of minimal non-nilpotent groups.

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Publication:694354
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DOI10.1134/S1995080210030078zbMath1255.20015OpenAlexW2001275469MaRDI QIDQ694354

Qianlu Li, Xiu Yun Guo

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080210030078


zbMATH Keywords

finite groupsSylow subgroups\(p\)-nilpotent groupsminimal non-nilpotent groupsminimal normal subgroups\(p\)-closed groupsgeneralized nilpotency


Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)


Related Items (2)

Criteria for supersolvability of saturated fusion systems ⋮ On a class of generalised Schmidt groups.




Cites Work

  • Unnamed Item
  • Group Laws Implying Virtual Nilpotence
  • Milnor groups and (virtual) nilpotence
  • Words and Almost Nilpotent Varieties of Groups#




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