Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotropy in Group Cohomology   The analogue of Lagrangians for symplectic forms over finite groups is
studied, motivated by the fact that symplectic G-forms with a normal Lagrangian
N<G are in one-to-one correspondence, up to inflation, with bijective 1-cocycle
data on the quotients G/N. This yields a method to construct groups of central
type from such quotients, known as Involutive Yang-Baxter groups. Another
motivation for the search of normal Lagrangians comes from a non-commutative
generalization of Heisenberg liftings which require normality.
  Although it is true that symplectic forms over finite nilpotent groups always
admit Lagrangians, we exhibit an example where none of these subgroups is
normal. However, we prove that symplectic forms over nilpotent groups always
admit normal Lagrangians if all their p-Sylow subgroups are of order less than
p^8.

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The categories of this paper are: nlin
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph