A NUMBER-THEORETIC APPROACH TO HOMOTOPY EXPONENTS OF SU(n)
نویسندگان
چکیده
We use methods of combinatorial number theory to prove that, for each n ≥ 2 and any prime p, some homotopy group πi(SU(n)) contains an element of order pn−1+ordp(bn/pc!), where ordp(m) denotes the largest integer α such that p | m.
منابع مشابه
A NUMBER - THEORETIC APPROACH TO HOMOTOPY EXPONENTS OF SU ( n ) DONALD
Let p be a prime number. The homotopy p-exponent of a topological space X, denoted by expp(X), is defined to be the largest e ∈ N = {0, 1, 2, . . .} such that some homotopy group πi(X) has an element of order p . This concept has been studied by various topologists (cf. [12], [10], [15], [3], [4], [5], [14], [18], and [19]). The most celebrated result about homotopy exponents (proved by Cohen, ...
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Let p be a prime number. The homotopy p-exponent of a topological space X, denoted by expp(X), is defined to be the largest e ∈ N = {0, 1, 2, . . .} such that some homotopy group πi(X) has an element of order p . This concept has been studied by various topologists (cf. [3], [4], [12], [15], [16], and [5]). The most celebrated result about homotopy exponents (proved by Cohen, Moore, and Neisend...
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تاریخ انتشار 2006