Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On recognizability of PSU_3(q) by the orders of maximal abelian
  subgroups   In [Li and Chen, A new characterization of the simple group A_1(p^n), Sib.
Math. J., 2012], it is proved that the simple group A_1(p^n) is uniquely
determined by the set of orders of its maximal abelian subgroups. Also in
[Momen and Khosravi, Groups with the same orders of maximal abelian subgroups
as A_2(q), Monatsh. Math., 2013], the authors proved that if L=A_2(q), where q
is not a Mersenne prime, then every finite group with the same orders of
maximal abelian subgroups as L, is isomorphic to L or an extension of L by a
subgroup of the outer automorphism group of L. In this paper, we prove that if
L=PSU_3(q), where q is not a Fermat prime, then every finite group with the
same orders of maximal abelian subgroups as L, is isomorphic to L or an
extension of L by a field automorphism of L.

36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph