Decomposability of the mod $p$ Whitehead element
نویسندگان
چکیده
منابع مشابه
THE MOD p REPRESENTATION THEORY OF p - ADIC GROUPS
Exercise 1 (Maximal compact subgroups of G). A lattice in Qp is a finitelygenerated Zp-submodule of Qp that generates Qp as vector space. In particular, it’s free of rank n. Note that G acts transitively on the set of lattices in Qp . (i) Show that K = StabG(Zp ). (ii) Suppose that K ′ is a compact subgroup of G. Show that K ′ stabilises a lattice. (Hint: show that the K ′-orbit of Zp is finite...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1996
ISSN: 0018-2079
DOI: 10.32917/hmj/1206127264