Surgery with finite fundamental group. I: The obstructions
نویسندگان
چکیده
منابع مشابه
Evaluation of Odd-dimensional Surgery Obstructions with Finite Fundamental Group
THROUGHOUT the decade following the publication of C.T.C. Walls book, Surgery on Compact Manifolds, there was a tremendous effort on the part of many mathematicians to compute the algebraic L-groups L,(Zn) for finite groups TL. Two noteworthy results were Bak’s theorem that Lzi+ 1 (Zrc) is zero when 7c has odd order, and Wall’s result that Lsi(Z7c) is detected by multisignatures and the classic...
متن کاملDiffeomorphisms of Manifolds with Finite Fundamental Group
We show that the group 3i{M) of pseudoisotopy classes of diffeomorphisms of a manifold of dimension > 5 and of finite fundamental group is commensurable to an arithmetic group. As a result n0{DiffM) is a group of finite type. Let M be an «-dimensional closed smooth manifold, where n > 5, and let DiffM be the group of diffeomorphisms of M. The space DiffM (it is a topological space with the C°°-...
متن کاملA Plane Sextic with Finite Fundamental Group
We analyze irreducible plane sextics whose fundamental group factors to D14. We produce explicit equations for all curves and show that, in the simplest case of the set of singularities 3A6, the group is D14 × Z3.
متن کاملThe Fundamental Group of Locally Finite Graphs with Ends
We characterize the fundamental group of a locally finite graph G with ends, by embedding it canonically as a subgroup in the inverse limit of the free groups π1(G ′) with G′ ⊆ G finite. As an intermediate step, we characterize π1(|G|) combinatorially as a group of infinite words.
متن کاملThe fundamental group of a locally finite graph with ends
We characterize the fundamental group of a locally finite graph G with ends combinatorially, as a group of infinite words. Our characterization gives rise to a canonical embedding of this group in the inverse limit of the free groups ⇡1(G 0) with G0 ✓ G finite.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1991
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1991.151.65