6533b7d9fe1ef96bd126d702

RESEARCH PRODUCT

Positive definite functions of finitary isometry groups over fields of odd characteristic

Felix LeinenOrazio Puglisi

subject

Discrete mathematicsPure mathematicsAlgebra and Number TheoryGroup (mathematics)Simple (abstract algebra)IsometryFinitaryPositive-definite matrixLattice (discrete subgroup)Mathematics

description

Abstract This paper is part of a programme to describe the lattice of all two-sided ideals in complex group algebras of simple locally finite groups. Here we determine the extremal normalized positive definite functions for finitary groups of isometries, defined over fields of odd characteristic.

yearjournalcountryeditionlanguage
2007-03-01Journal of Pure and Applied Algebra
10.1016/j.jpaa.2006.05.007http://dx.doi.org/10.1016/j.jpaa.2006.05.007