Locally compact (2, 2)-transformation groups

Alfonso Di Bartolo, Giovanni Falcone, Alfonso Di Bartolo, Giovanni Falcone, Karl Strambach

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We determine all locally compact imprimitive transformation groups acting sharply 2-transitively on a non-totally disconnected quotient space of blocks inducing on any block a sharply 2-transitive group and satisfying the following condition: if Δ1, Δ2 are two distinct blocks and Pi, Qi ∈ Δi (i = 1, 2), then there is just one element in the inertia subgroup which maps Pi onto Qi. These groups are natural generalizations of the group of affine mappings of the line over the algebra of dual numbers over the field of real or complex numbers or over the skew-field of quaternions. For imprimitive locally compact groups, our results correspond to the classical results of Kalscheuer for primitive locally compact groups (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Original languageEnglish
Pages (from-to)924-938
Number of pages15
JournalMathematische Nachrichten
Volume283
Publication statusPublished - 2010

All Science Journal Classification (ASJC) codes

  • General Mathematics

Fingerprint

Dive into the research topics of 'Locally compact (2, 2)-transformation groups'. Together they form a unique fingerprint.

Cite this