Research output: Contribution to journal › Article
Hurwitz Generation of PSp6(q). / Tamburini Bellani, M.C.; Vsemirnov, M.
In: Communications in Algebra, Vol. 43, No. 10, 2015, p. 4159-4169.Research output: Contribution to journal › Article
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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 -
ID: 4001507