Bounds on the nilpotency class of certain semidirect products
نویسندگان
چکیده
منابع مشابه
On the second cohomology of semidirect products
Let G be a group which is the semidirect product of a normal subgroup N and a subgroup T , and let M be a G-module with not necessarily trivial G-action. Then we embed the simultaneous restriction map res = (resN , res G T ) t : H2(G,M) → H2(N,M)T × H2(T,M) into a natural five term exact sequence consisting of one and two-dimensional cohomology groups of the factors N and T . The elements of H2...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1971
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1971-0284512-6