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Gröbner–Shirshov bases for congruence classes of complex reflection groups.

Authors :
Özalan, Nurten Urlu
Wazzan, Suha Ahmad
Karpuz, Eylem Güzel
Source :
Asian-European Journal of Mathematics; Dec2019, Vol. 12 Issue 6, pN.PAG-N.PAG, 30p
Publication Year :
2019

Abstract

The aim of this paper is to obtain the solvability of the word problem over congruence classes of complex reflection groups G 2 4 and G 7 . To do that, we use Gröbner–Shirshov basis theory and get the normal form structure of elements of these group types. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17935571
Volume :
12
Issue :
6
Database :
Complementary Index
Journal :
Asian-European Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
139100913
Full Text :
https://doi.org/10.1142/S1793557120400136