Pro-Hall R-groups and groups discriminated by the free pro-p group
نویسندگان
چکیده
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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متن کاملCharacter degrees of p-groups and pro-p groups
In the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of solvability of a p-group G with respect to the number of different irreducible character degrees of G. So far, there are just a few partial results for this conjecture. In this note, we say that a pro-p group G has property (I) if there is a real number D = D(G) that just depends on G such that for any o...
متن کاملON AUTOMORPHISMS OF FREE PRO-p-GROUPS I
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 Group Theory
سال: 2016
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgth-2016-0505