Classifying Dihedral O(2)-Equivariant Spectra

نویسنده

  • David Barnes
چکیده

The category of rational O(2)-equivariant spectra splits as a product of cyclic and dihedral parts. Using the classification of rational G-equivariant spectra for finite groups G , we classify the dihedral part of rational O(2)-equivariant spectra in terms of an algebraic model.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Classifying fuzzy normal subgroups of finite groups

In this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. Explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.

متن کامل

CLASSIFYING FUZZY SUBGROUPS OF FINITE NONABELIAN GROUPS

In this paper a rst step in classifying the fuzzy subgroups of a nite nonabelian group is made. We develop a general method to count the number of distinct fuzzy subgroups of such groups. Explicit formulas are obtained in the particular case of dihedral groups.

متن کامل

Circle-equivariant Classifying Spaces and the Rational Equivariant Sigma Genus

We analyze the circle-equivariant spectrum MStringC which is the equivariant analogue of the cobordism spectrum MU〈6〉 of stably almost complex manifolds with c1 = c2 = 0. In [Gre05], the second author showed how to construct the ring T-spectrum EC representing the T-equivariant elliptic cohomology associated to a rational elliptic curve C. In the case that C is a complex elliptic curve, we cons...

متن کامل

The Equivariant Dold-thom Theorem

(1) A. Dold, R. Thom, Quasifaserungen und unendliche symmetrische produkte, Ann. of Math. (2) 67 (1958), 239–281. (2) E. Spanier, Infinite symmetric products, function spaces, and duality, Ann. of Math. (2) 69 (1959), 142–198. (3) M. C. McCord, Classifying spaces and infinite symmetric products, Trans. Amer. Math. Soc. 146 (1969), 273–298. (4) M. G. Barratt, S. Priddy, On the homology of non-co...

متن کامل

ar X iv : m at h / 04 10 16 2 v 1 [ m at h . A T ] 6 O ct 2 00 4 EQUIVARIANT UNIVERSAL COEFFICIENT AND KÜNNETH SPECTRAL SEQUENCES

We construct hyper-homology spectral sequences of Z-graded and RO(G)-graded Mackey functors for Ext and Tor over G-equivariant S-algebras (A∞ ring spectra) for finite groups G. These specialize to universal coefficient and Künneth spectral sequences.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008