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SL2(k) and a Subset of Words Overk

✍ Scribed by Roland Bacher

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
74 KB
Volume
23
Category
Article
ISSN
0195-6698

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✦ Synopsis

SL 2 (k) and a Subset of Words Over k ROLAND BACHER Given a field k, this paper defines a subset of the free semi-group F k (whose elements are all finite words with letters in k) which has some interesting arithmetic and combinatorial properties. The case p = 2 has been treated in Bacher (2000, Europ. J. Combinatorics, 21, 853-864) with slightly different notations. The link with SL 2 and motivation for studying this subset originates in Bacher (1999, Ann. Inst. Fourier, 49, 1115-1128).

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