The structure of some virtually free pro-$p$ groups
نویسندگان
چکیده
منابع مشابه
Green Correspondence for Virtually Pro-p Groups∗
Let p be a prime number, G a finite group, Q a p-subgroup of G and L any subgroup of G containing the normalizer NG(Q) of Q in G. Let k be a field of positive characteristic p. In [2] J.A. Green demonstrates a fundamental correspondence between finitely generated kG-modules with vertex Q and finitely generated kL-modules with vertex Q. When L = NG(Q) the Green correspondence allows for the redu...
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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: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-04765-6