Finite loops arising from projective 3-space

Stefano Pasotti, Silvia Pianta, Elena Zizioli

Research output: Contribution to journalArticlepeer-review

Abstract

By means of the method of transversals and sections we build up (left) loops (L, ∗) contained in the group G where G = PGL_2 (q) or G = PSL 2_(q), q > 3 odd. Since such groups can be embedded in PG(3, q), the subgroups we considered for the construction of (L, ∗) are geometrically relevant (lines or planes of PG(3, q)) or algebraically relevant (maximal subgroups).
Original languageEnglish
Pages (from-to)155-165
Number of pages11
JournalBeitrage zur Algebra und Geometrie
Volume59
DOIs
Publication statusPublished - 2018

Keywords

  • Left loop, loop transversal, PGL_2(q), PSL_2(q)

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