Unique subwords in nonperiodic words
C. M. Weinbaum
Proc. Amer. Math. Soc. 109 (1990), 615-619
Primary 20M05; Secondary 05A05, 20F05
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Abstract: Let be words over some alphabet. has position in the cyclic word if the cyclic permutation of which begins with the th letter of has an initial subword equal to . It is proved that every nonperiodic word of length has a cyclic permutation which is a product BC for some nonempty subwords having unique positions in the cyclic word .
W. Magnus, A. Karrass, and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
- W. Magnus, A. Karrass, and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
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