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The 2-length and 2-period of a finite solvable group

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Publication:1150691
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DOI10.1007/BF01669309zbMath0457.20026OpenAlexW2069693560MaRDI QIDQ1150691

E. G. Bryukhanova

Publication date: 1979

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01669309


zbMATH Keywords

Sylow 2-subgroupsp-lengthp-solvable 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)


Related Items (9)

On the Fitting series of the product of two finite nilpotent groups ⋮ On bounds for the \(p\)-length of finite \(p\)-soluble groups ⋮ The 2-length of the Hughes subgroup ⋮ Unnamed Item ⋮ WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS ⋮ Recognizing \(A_7\) by its set of element orders ⋮ On groups of period 12. ⋮ Finite groups ⋮ \(p\)-central action on finite groups.




Cites Work

  • A special class of non-solvable groups
  • The 2-length of groups whose Sylow 2-groups are of exponent 4
  • The 2-length of a finite solvable group
  • On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
  • Endliche Gruppen I




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