Abstract
Classical results of homotopy theory are used to prove that dim\(\pi _q (S^n ) \otimes \mathbb{Z}_p \leqslant 3^{\left( {q - \frac{n}{2}} \right)} \)for all primes p. Simultaneously we obtain bounds on the order of the p-torsion subgroup of πq(Sn).
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partially supported by Studienstiftung des deutschen Volkes
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Bödigheimer, CF., Henn, HW. A remark on the size of πq (Sn). Manuscripta Math 42, 79–83 (1983). https://doi.org/10.1007/BF01171748
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DOI: https://doi.org/10.1007/BF01171748