Transition Property for Cube-Free Words
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DOI: 10.1007/s00224-020-09979-4
Abstract: We study cube-free words over arbitrary non-unary finite alphabets and prove the following structural property: for every pair ( u , v ) of d -ary cube-free words, if u can be infinitely extended to… read more here.
Keywords: transition property; cube free; free words;
Isomorphism testing of groups of cube-free order
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DOI: 10.1016/j.jalgebra.2019.02.008
Abstract: Abstract A group G has cube-free order if no prime to the third power divides | G | . We describe an algorithm that given two cube-free groups G and H of known order, decides… read more here.
Keywords: order; testing groups; cube free; isomorphism testing ... See more keywords
Conjugacy Classes of Completely Reducible Cube-Free Solvable p′-Subgroups of GL(2,q)
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DOI: 10.1142/s0219498825502597
Abstract: Let m be a cube-free positive integer and let p be a prime such that p does not divide m. In this paper we find the number of conjugacy classes of completely reducible solvable cube-free… read more here.
Keywords: reducible cube; cube free; completely reducible; conjugacy classes ... See more keywords
Branching Densities of Cube-Free and Square-Free Words
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DOI: 10.3390/a14040126
Abstract: Binary cube-free language and ternary square-free language are two “canonical” representatives of a wide class of languages defined by avoidance properties. Each of these two languages can be viewed as an infinite binary tree reflecting… read more here.
Keywords: cube free; square free; free language; density ... See more keywords