On powers of elements in $S$-groups
نویسندگان
چکیده
منابع مشابه
Powers of Coxeter Elements in Infinite Groups Are Reduced
Let W be an infinite irreducible Coxeter group with (s1, . . . , sn) the simple generators. We give a simple proof that the word s1s2 · · · sns1s2 · · · sn · · · s1s2 · · · sn is reduced for any number of repetitions of s1s2 · · · sn. This result was proved for simplylaced, crystallographic groups by Kleiner and Pelley using methods from the theory of quiver representations. Our proof only usin...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1962
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1962-0146238-9