1 citations · 1 across the 3 of their papers we have counts for
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Toroidal orbifolds, gerbes and group cohomology
Alejandro Adem, Jianzhong Pan
We compute the integral cohomology of certain semi-direct products arising from a linear G-action on the n-torus, where G is a finite group. The main application is the complete ca…
Fixity and Free Group Actions on Products of Spheres
Alejandro Adem, James F. Davis, Ozgun Unlu
We use the notion of fixity for representations of finite groups to construct free and smooth actions on products of spheres. In particular we show that a finite p-group (for p>3)…
Constructing and Deconstructing Group Actions
Alejandro Adem
We survey some results concerning finite group actions on products of spheres.
On representations and K-theory of the braid groups
Alejandro Adem, Daniel C. Cohen, Frederick R. Cohen
Let G be the fundamental group of the complement of a K(G,1) hyperplane arrangement (such as Artin's pure braid group) or more generally a homologically toroidal group (as defined…
Periodic Complexes and Group Actions
Alejandro Adem, Jeff H. Smith
In this paper we show that the cohomology of a connected CW complex is periodic if and only if it is the base space of an orientable spherical fibration with total space that is ho…
Field theory and the Cohomology of Some Galois Groups
Alejandro Adem, Wenfeng Gao, Dikran Karagueuzian +1
We prove that two arithmetically significant extensions of a field F coincide if and only if the Witt ring WF is a group ring Z/n[G]. Furthermore, working modulo squares with Galoi…