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On the set of divisors of a number
If z is a natural number and if z=pipfy —Pj is its factorization into primes, then the sum X/ + \2 + '" + \ " will be called the degree of z. Let m be a squarefree natural number of degree /?, i.e.,
Symmetric Venn Diagrams on the Sphere I : Chain Decompositions and Isometry Groups of Order Two
Let f be an isometry of the sphere which is an involution (that is, f−1 = f). For any n ≥ 1 we prove that there is an n-curve Venn diagram on the sphere whose isometry group is generated by f and