Fusion systems containing pearls

Valentina Grazian

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An f-essential subgroup is called a pearl if it is either elementary abelian of order p2 or non-abelian of order p3. In this paper we start the investigation of fusion systems containing pearls: we determine a bound for the order of p-groups containing pearls and we classify the saturated fusion systems on p-groups containing pearls and having sectional rank at most 4.
Original languageEnglish
Pages (from-to)98-140
Number of pages43
JournalJournal of Algebra
Volume510
Early online date15 Jun 2018
DOIs
Publication statusPublished - 15 Sep 2018

Keywords

  • Fusion systems
  • Pearls
  • Qd(p)
  • groups
  • Elementary abelian essential subgroup
  • Extraspecial essential subgroup
  • p-Groups of maximal nilpotency class
  • --Groups of sectional rank at most 4

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