Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mod-two cohomology rings of alternating groups   We calculate the mod-two cohomology of all alternating groups together, with
both cup and transfer product structures, which in particular determines the
additive structure and ring structure of the cohomology of individual groups.
We show that there are no nilpotent elements in the cohomology rings of
individual alternating groups. We calculate the action of the Steenrod algebra
and discuss individual component rings. A range of techniques is needed: an
almost Hopf ring structure associated to the embeddings of products of
alternating groups, the Gysin sequence relating the cohomology of alternating
groups to that of symmetric groups, Fox-Neuwirth resolutions, and restriction
to elementary abelian subgroups.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph