THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS

Author:

ÇEVIK A. SINAN1

Affiliation:

1. Balikesir Universitesi, Fen-Edebiyat Fakultesi, Matematik Bolumu, 10100 Balikesir, Turkey

Abstract

The semi-direct product of arbitrary two monoids and a presentation for this product have received considerable attention, see for instance [12, 14, 15]. In [15], Wang defined a trivializer set of the Squier complex associated with this presentation. In this paper, as a main result, we discuss necessary and sufficient conditions for the standard presentation of the semi-direct product of any two monoids to be p-Cockcroft for any prime p or 0. Finally we present some applications of this main theorem.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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