Induction theorems for Grothendieck groups and Whitehead groups of
Recommend Documents
JOHN A. MOODY. The purpose of this paper ... is surjective, where UH is the part of U supported on H, for each H C G. The proof depends on a ... wish to thank Tom Farrell for showing me his conjecture with Hsiang and expressing confidence ...
Mar 15, 2006 - müller's ideas on how to deform the underlying topological surface so as to effect ...... [56] Bernhard Riemann, Gesammelte Werke, (ed.
Feb 1, 2008 - parameter λ of Whitehead products in BGλ to a symplectic deformation problem on symplectic fibrations. Parametric Gromov -Witten invariants ...
property is called an isolated singularity. (4) We recall now the definition of the Grothendieck group, Go (A), of a ring A. It is the quotient of the free abelian group ...
power monoids P(G), ranging over all groups G in H, satisfy the same profi- nite identities .... use Aâ for the free monoid on a set A; the free profinite monoid on a profinite set A is denoted Ì ..... Now choose 2n pairwise disjoint finite alphab
Aug 5, 2013 - The proof is obvious because, if G is Abelian, then aH = Ha for all a â. G. D. For the record, here is a normal subgroup test: Proposition 6.3.
Jul 9, 2016 - MICHAEL BJÃRKLUND AND ALEXANDER FISH. Abstract. ... Direct and inverse theorems for product sets, Ergodic Ramsey Theory. 1 ...
Nov 22, 2007 - RAFAEL DE LA LLAVE AND ALISTAIR WINDSOR ...... Duke. Math. J., 79(3):751â810, 1995. [NT98]. Viorel NiticËa and Andrei Török. Regularity ...
Mar 31, 2016 - En : 1. 2. 3. 4. ··· nâ1 n. (n = 6,7,8). We have a stable translation quiver Zâ as follows ... ZA6
Department of Mathematics, Kafkas University, Kars, 36100-Turkey. Department of Mathematics, Kocaeli University, Kocaeli, 41380-Turkey. Department of ...
Jun 3, 2017 - AG] 3 Jun 2017. Grothendieck ring of varieties with finite groups actions. â. S.M. Gusein-Zade â . I. Luengo â¡. A. Melle-Hernández §. Abstract.
INDUCTION AND STRUCTURE THEOREMS FOR. GROTHENDIECK AND WITT RINGS OF ORTHOGONAL. REPRESENTATIONS OF FINITE GROUPS.
functions in endowed with the norm k kCk( ) defined as supremum of the derivatives of order ... be expressed in coordinates by saying that an object is Ck if we can find ... they do di er and some statements such as that certain operators acting on .
May 23, 2015 - of the braid group B(m) on m strands is finite if and only if (m, ... where re = ab(bc)−1 in case e = (a|b|c) is a labeled edge with initial vertex a, ... or the inverse of a relator r−1 .... of edges in the boundary of d and the α(d)j
a very rough-and-tumble review of abstract algebra! As always ... than one class;
accordingly, we focus our attention on key definitions and results. 1 Groups: ...
Jan 29, 2016 - February 1, 2016. Abstract. We show that the ... We prove that the orbit full group of a free action of a locally compact. Polish group is ..... and let D be a fundamental domain of the right Î-action on G. Then any probability.
Keywords: Carnot group, Whitney theorem, extension of functions, traces of ... A Carnot group [2] is a connected simply connected Lie group G whose Lie ...
Paul-Hermann Zieschang. 3,â. 1. Combinatorial and Computational Mathematics Center, Pohang University of Science and Technology, Pohang 790â784, ...
Groups. Suman Mukhopadhyay1, L.S. Sidhu1 and S.K. Ver ma-1 ...... Ama.. 12(5): 232-238 {1981 h. hnbarO .Oren.A..5cl*eil.M.,awiix, M.. R*fleinhA..DIim.
Mar 28, 2017 - Let G be a connected Lie group and consider a (Borel-measurable) action ...... [69] Calvin C. Moore, Distal affine transformation groups, Amer.
Derek Holt (University of Warwick). Computing ... Some computations involve
searching through the elements of G, and so their complexity is .... O'Brien. As
might be expected from the naive complexity analysis above, it performs best for
.....
Aug 26, 2018 - Department of Pure Mathematics, Ferdowsi University of Mashhad,. P.O.Box 1159-91775, Mashhad, Iran. Abstract. It is well-known that a ...
On the other hand, the Whitehead group of a cyclic group has been comple- tely determined ... prime p (th. 4.1). As a by-product of the architecture we also give.
A NNALES SCIENTIFIQUES DE L’É.N.S.
T SIT-Y UEN L AM Induction theorems for Grothendieck groups and Whitehead groups of finite groups Annales scientifiques de l’É.N.S. 4e série, tome 1, no 1 (1968), p. 91-148
Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/
Ann. scient. EC. Norm. Sup., ^ serie, t. 1, iQfi.S, p. 91 a 148.
INDUCTION THEOREMS FOR (jROTHENDIECK GROUPS AND WHITEHEAD GROUPS OF FINITE GROUPS C) BY TSIT-YliEN LAM ( ^ ) , ,
Columbia University.
TABLE OF C O N T E N T S . Pages. INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
99.
CHAPTER 1. — Finiteness t h e o r e m s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
94
1. Definitions and g e n e r a l i t i e s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2. Strooker theorems and clean o r d e r s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. Finiteness theorems for o r d e r s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. G' for ahelian o r d e r s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . CHAPTER 2. — Artin exponent of finite g r o u p s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . CHAPTER 3. — Frobenius functors and induction t h e o r e m s . . . . . . . . . . . . . . . . . . . . . . 1. Frobenius functors and m o d u l e s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2. E x a m p l e s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. Induction theorems and restriction t h e o r e m s . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. Applications to group cohomology and topology. . . . . . . . . . . . . . . . . . . . . . . CHAPTER 4. — Grothend ieck groups and Whitehead groups . . . . . . . . . . . . . . . . . . . . . 1. Grothendieck groups and Whitehead groups as Frobenius functors and modules.......................................................... 2. Induction t h e o r e m s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3. Applications to modular r e p r e s e n t a t i o n s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4. Applications to SK' (ZTC), Tor Wh(7r) and Co(Z^) e t c . . . . . . . . . . . . . . . . . . . .
94 96 97 101 io3 106 To6 108 112 114 116 116 ia a i%4 197
(') Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy, in the Faculty of Pure Science, Columbia University, 1967. ( 2 ) Present address : University of Chicago, Chicago, Illinois, U, S, A,
