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Groups acting on necklaces and sandpile groups
- Source :
- Journal of Mathematical Sciences. August 5, 2014, Vol. 200 Issue 6, p44, 8 p.
- Publication Year :
- 2014
-
Abstract
- We introduce a group naturally acting on aperiodic necklaces of length n with two colors using a one-to-one correspondence between such necklaces and irreducible polynomials of degree n over the field F2 of two elements. We notice that this group is isomorphic to the quotient group of nondegenerate circulant matrices of size n over that field modulo a natural cyclic subgroup. Our groups turn out to be isomorphic to the sandpile groups for a special sequence of directed graphs. Bibliography: 15 titles.<br />UDC 515.16 1. INTRODUCTION This work originated in the research of the first author related to the Drinfeld associator (6). It is well known (e.g., see (5)) that the logarithm [...]
- Subjects :
- Jewelry
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 200
- Issue :
- 6
- Database :
- Gale General OneFile
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.380015923