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Authors
Affiliations
1 Department of Mathematics, IISER Bhopal, Bhopal, Madhya Pradesh 462066, IN
2 Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario K7L 3N6, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 33, No 4 (2018), Pagination: 427-433
Abstract
For g ∈ ℕ, let G = Sp(2g, ℤ) be the integral symplectic group and S(g) be the set of all positive integers which can occur as the order of an element in G. In this paper, we show that S(g) is a bounded subset of ℝ for all positive integers g. We also study the growth of the functions f (g) = |S(g)|, and h(g) = max{m ∈ ℕ | m ∈ S(g)} and show that they have at least exponential growth.
References
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