Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A saturated model of an unsuperstable theory of cardinality greater than
  its theory has the small index property   A model M of cardinality lambda is said to have the small index property if
for every G subseteq Aut(M) such that [Aut(M):G] <= lambda there is an A
subseteq M with |A|< lambda such that Aut_A(M) subseteq G. We show that if M^*
is a saturated model of an unsuperstable theory of cardinality > Th(M), then
M^* has the small index property.

37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ