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On Efficient Presentations for Infinite Sequences of 2-Groups with Fixed Coclass

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Publication:2862492
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DOI10.1142/S1005386713000539zbMath1285.20015OpenAlexW2148075374MaRDI QIDQ2862492

Hossein Abdolzadeh, Bettina Eick

Publication date: 15 November 2013

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386713000539


zbMATH Keywords

finite \(p\)-groupsfinite \(2\)-groupsefficient presentationscoclass theorydeficiency zero presentations


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15)


Related Items (2)

The origins of coclass theory ⋮ An infinite family of finite $2$-groups with deficiency zero



Cites Work

  • Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
  • Schur multiplicators of finite \(p\)-groups with fixed coclass.
  • COMPUTATION OF LOW-DIMENSIONAL (CO)HOMOLOGY GROUPS FOR INFINITE SEQUENCES OF p-GROUPS WITH FIXED COCLASS
  • On the classification of prime-power groups by coclass
  • Some 3-Generator, 3-Relation Finite 2-Groups
  • Classifying 2-groups by coclass




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