Orthogonality of the Modules of Dual Groups

Yu. V. Kostromina

Moscow State Pedagogical University

Abstract: Warfield duality for locally free groups and Arnold duality for quotient divisible groups are studied. It is shown that the modules of Warfield dual groups are orthogonal and the modules of Arnold dual groups are orthogonal.

Keywords: Warfield duality, Arnold duality, orthogonal modules, Maltsev matrix, $p^s$-module of a locally free group, $p$-adic module of a group.

UDC: 512.541

Received: 11.07.2013
Revised: 14.01.2014

DOI: 10.4213/mzm10355

 English version: Mathematical Notes, 2015, 97:1, 69–72

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