Equivariant RO(G)-graded bordism theories (Q801569)

RO(G)-graded bordism of finite group actions was first studied by \textit{W. Pulikowski} in [Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 21, 991-995 (1973; Zbl 0269.55005)], and subsequently by the reviewer in [Quart. J. Math., Oxf. II. Ser. 26, 411-419 (1975; Zbl 0313.57025)]. Techniques of Conner, Floyd and Stong were used to obtain splitting results. In this paper representing equivariant Thom spectra are constructed, and the relevant transversality results proved. New methods for splitting away from the order of G are described, and behaviour in the presence of a gap hypothesis is examined.