Projects per year
Primitive prime divisors play an important role in group theory and number theory. We study a certain number-theoretic quantity, called φ∗n(q), which is closely related to the cyclotomic polynomial φn (x) and to primitive prime divisors of qn - 1. Our definition of φ∗n(q) is novel, and we prove it is equivalent to the definition given by Hering. Given positive constants c and k, we provide an algorithm for determining all pairs (n; q) with φ∗n(q) ≤ cnk. This algorithm is used to extend (and correct) a result of Hering and is useful for classifying certain families of subgroups of finite linear groups.
|Number of pages||14|
|Journal||Journal of the Australian Mathematical Society|
|Publication status||Published - 1 Feb 2017|
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- 1 Finished
Finite linearly representable geometries and symmetry
Praeger, C., Glasby, S. & Niemeyer, A.
1/01/14 → 31/05/19