Hurwitz Generation of PSp6(q)

Maria Clara Tamburini Bellani, Maxim Vsemirnov

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

4 Citazioni (Scopus)


We show that the symplectic groups PSp6(q) are Hurwitz for all q = p^m ≥ 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 F_{p^m}, contains Hurwitz groups for infinitely many values of m. This fact, for a given (possibly large) p, also follows from [9] and [10].
Lingua originaleEnglish
pagine (da-a)4159-4169
Numero di pagine11
RivistaCommunications in Algebra
Stato di pubblicazionePubblicato - 2015
Pubblicato esternamente


  • Finite simple groups
  • Hurwitz generation


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