منابع مشابه
Free-by-Demushkin pro-p groups
We give an example of a short exact sequence 1 → N → G → D → 1 of pro-p groups such that the cohomological dimension cd(G) = 2, G is (topologically) finitely generated, N is a free pro-p group of infinite rank, D is a Demushkin group, for every closed subgroup S of G containing N and any natural number n the inflation map H2(S/N,Z/(pn)) → H2(S,Z/(pn)) is an isomorphism but G is not a free pro-p...
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Let F be a (topologically) finitely generated free pro-p-group, and ß an automorphism of F . If p ^ 2 and the order of ß is 2 , then there is some basis of F such that ß either fixes or inverts its elements. If p does not divide the order of ß , then the subgroup of F of all elements fixed by ß is (topologically) infinitely generated; however this is not always the case if p divides the order o...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7787