Joins of double coset spaces

Hom Nath Bhattarai and James William Fernandez

Vol. 98 (1982), No. 2, 271–280

DOI: 10.2140/pjm.1982.98.271

Abstract

The double cosets of a group by a subgroup and the irreducible complex characters of a finite group have a structure which can be studied by means of hypergroups (alias convos, probability groups, and Pasch geometries). An external operation on these structures called the “join” is studied. Decomposition theorems are established in both the general hypergroup (Pasch geometry) case and the weighted hypergroup (probability group) case.

Mathematical Subject Classification 2000

Primary: 20P05

Secondary: 20C15, 51D99

Milestones

Received: 15 March 1977

Revised: 27 February 1981

Published: 1 February 1982