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On some groups generated by involutions

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Veröffentlicht/Copyright: 8. Januar 2016
Journal of Group Theory
Aus der Zeitschrift Journal of Group Theory Band 19 Heft 4

Abstract

Let G be a group generated by the set Γ={g∈G∣g2=1≠g} of its involutions. We prove that if (a⁢b)4=1 for every a,b∈Γ, then G is a locally finite 2-group. This answers in the affirmative Question 18.58 in the Kourovka notebook ([3]).

References

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Received: 2015-10-22
Revised: 2015-11-29
Published Online: 2016-1-8
Published in Print: 2016-7-1

© 2016 by De Gruyter

Artikel in diesem Heft

  1. Frontmatter
  2. Codegrees and nilpotence class of p-groups
  3. On finite 2-equilibrated p-groups
  4. Minimal dimension of faithful representations for p-groups
  5. On the Christensen–Wang bounds for the ghost number of a p-group algebra
  6. A family of non-Schurian p-Schur rings over groups of order p3
  7. Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup
  8. Symmetric powers of Nat SL(2,𝕂)
  9. Nested GVZ-groups
  10. On some groups generated by involutions
  11. Thompson’s conjecture for finite simple groups of Lie type Bn and Cn
https://doi.org/10.1515/jgth-2015-0047

Artikel in diesem Heft

  1. Frontmatter
  2. Codegrees and nilpotence class of p-groups
  3. On finite 2-equilibrated p-groups
  4. Minimal dimension of faithful representations for p-groups
  5. On the Christensen–Wang bounds for the ghost number of a p-group algebra
  6. A family of non-Schurian p-Schur rings over groups of order p3
  7. Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup
  8. Symmetric powers of Nat SL(2,𝕂)
  9. Nested GVZ-groups
  10. On some groups generated by involutions
  11. Thompson’s conjecture for finite simple groups of Lie type Bn and Cn
Heruntergeladen am 29.4.2026 von https://www.degruyterbrill.com/document/doi/10.1515/jgth-2015-0047/html?lang=de
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