Involutions fixing projective spaces.
نویسندگان
چکیده
منابع مشابه
Involutions Fixing Rp
This paper studies the equivariant cobordism classification of all involutions fixing a disjoint union of an odd-dimensional real projective space RP with its normal bundle nonbounding and a Dold manifold P (h, i) with h > 0 and i > 0. For odd h, the complete analysis of the equivariant cobordism classes of such involutions is given except that the upper and lower bounds on codimension of P (h,...
متن کاملProjective Modules and Involutions
Let G be a finite group, and let Ω := {t ∈ G | t = 1}. Then Ω is a G-set under conjugation. Let k be an algebraically closed field of characteristic 2. It is shown that each projective indecomposable summand of the G-permutation module kΩ is irreducible and self-dual, whence it belongs to a real 2-block of defect zero. This, together with the fact that each irreducible kG-module that belongs to...
متن کاملProjective embedding of projective spaces
In this paper, embeddings φ : M → P from a linear space (M,M) in a projective space (P,L) are studied. We give examples for dimM > dimP and show under which conditions equality holds. More precisely, we introduce properties (G) (for a line L ∈ L and for a plane E ⊂ M it holds that |L ∩ φ(M)| 6 = 1) and (E) (φ(E) = φ(E) ∩ φ(M), whereby φ(E) denotes the by φ(E) generated subspace of P ). If (G) a...
متن کاملCORRECTIONS TO “ INVOLUTIONS FIXING RP odd P ( h , i ) , II ”
The purpose of this note is to correct statements of some assertions in [1]. The mistake occurs in the argument of the case in which the normal bundle ν over P (h, i) is nonstandard. Specifically, some incorrect calculations first happen in the arguments of the cases u = 0 and u > 1 of page 1309 (in the proof of Lemma 3.4 of [1]). This leads to the loss of the existence of some involutions with...
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: Michigan Mathematical Journal
سال: 1966
ISSN: 0026-2285
DOI: 10.1307/mmj/1028999602