TY - JOUR

T1 - Hurwitz Generation of PSp6(q)

AU - Tamburini Bellani, M.C.

AU - Vsemirnov, M.

PY - 2015

Y1 - 2015

N2 - © 2015, Copyright Taylor & Francis Group, LLC.We show that the symplectic groups PSp6(q) are Hurwitz for all q = pm ≥ 5, with p an odd prime. The result cannot be improved since, for q even and q = 3, it is known that PSp6(q) is not Hurwitz. In particular, n = 6 turns out to be the smallest degree for which a family of classical simple groups of degree n, over 픽pm, contains Hurwitz groups for infinitely many values of m. This fact, for a given (possibly large) p, also follows from [9] and [10].

AB - © 2015, Copyright Taylor & Francis Group, LLC.We show that the symplectic groups PSp6(q) are Hurwitz for all q = pm ≥ 5, with p an odd prime. The result cannot be improved since, for q even and q = 3, it is known that PSp6(q) is not Hurwitz. In particular, n = 6 turns out to be the smallest degree for which a family of classical simple groups of degree n, over 픽pm, contains Hurwitz groups for infinitely many values of m. This fact, for a given (possibly large) p, also follows from [9] and [10].

U2 - 10.1080/00927872.2014.939756

DO - 10.1080/00927872.2014.939756

M3 - Article

VL - 43

SP - 4159

EP - 4169

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 10

ER -