Special Issue: International Conference on Semigroups and Groups in Honor of the 65th Birthday of Prof. John RhodesNo Access

REPRESENTATIONS OF FREE PRODUCTS BY INFINITE UNITRIANGULAR MATRICES OVER FINITE FIELDS

ANDRIJ OLIJNYK

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Volodymyrska 60, Kyiv 01033, Ukraine

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and

VITALY SUSHCHANSKY

Institut of Mathematics, Silesian University of Technology, Kaszubska 23, Gliwice 44-100, Poland

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https://doi.org/10.1142/S0218196704001931Cited by:5 (Source: Crossref)

Abstract

An unambiguous construction of an embedding of the free product of n cyclic groups of order p into the the group of finite state infinite unitriangular matrices over the finite field of size p is presented.

Keywords:

AMSC: 20E06, 20E18, 20H20

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