A focal subgroup theorem for outer commutator words

作者：Acciarri Cristina^*; Fernandez Alcober Gustavo A; Shumyatsky Pavel

来源：Journal of Group Theory, 2012, 15(3): 397-405.

DOI：10.1515/JGT.2011.113

Let G be a finite group of order p(a)m, where p is a prime and m is not divisible by p, and let P be a Sylow p-subgroup of G. If w is an outer commutator word, we prove that P boolean AND w(G) is generated by the intersection of P with the set of mth powers of all values of w in G.

• 出版日期2012-5