Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Smith theory for$p$-groups

Author: James A. Maiorana
Journal: Trans. Amer. Math. Soc. 223 (1976), 253-266
MSC: Primary 57E10
MathSciNet review: 0423387
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: When a p-group G acts on a manifold, the behavior of the cohomology of the subgroups of G singles out a special collection of fixed point sets of these subgroups. A bound on the size of the spaces in this collection is derived using equivariant cohomology. For a special class of nonabelian p-groups this bound is strong enough to require that certain fixed point sets must vanish. Application of this bound to a linear representation of G yields a lower bound for the cohomology of G.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57E10

Retrieve articles in all journals with MSC: 57E10

Additional Information

Keywords: Smith theory, <I>p</I>-group, cohomology of groups, fixed point sets of subgroups
Article copyright: © Copyright 1976 American Mathematical Society