Action of a Frobenius-like group with kernel having central derived subgroup
نویسندگان
چکیده
منابع مشابه
Action of a Frobenius-like group with kernel having central derived subgroup
A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that [F, h] = F for all nonidentity elements h ∈ H. Suppose that a finite group G admits a Frobenius-like group of automorphisms FH of coprime order with [F ′, H] = 1. In case where CG(F ) = 1 we prove that the groups G and CG(H) have the same nilpotent length un...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2016
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196716500533