On free elementary $$\mathbb {Z}_p C_p$$-lattices

Archiv der Mathematik, vol. 116, pp. 509–514

Abstract

Abstract We show that all elementary lattices that are free $$\mathbb {Z}_p C_p$$ Z p C p -modules admit an orthogonal decomposition into a sum of a free unimodular and a p-modular $$\mathbb {Z}_p C_p$$ Z p C p -lattice.

Authors 1

1. Gabriele Nebe corresponding Aachen Lehrstuhl für Algebra und Zahlentheorie

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl für Algebra und Zahlentheorie, RWTH Aachen University, 52056, Aachen, Germany