Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real Subpairs and Frobenius-Schur Indicators of Characters in 2-Blocks   Let B be a real 2-block of a finite group G. Then B has a real defect class.
Let g be an element of such a class. A defect couple of B is (D,E), where E is
a Sylow 2-subgroup of the extended centralizer C^*(g) of g, and D is the
intersection of E with the centralizer C(g). It is known that (D,E) is uniquely
determined up to G-conjugacy. We show that (D,E) determines which B-subpairs
are real. We also outline how (D,E) influences the vertices of components of
the G-permutation module corresponding to the conjugation action of G on its
involutions. We apply these methods to enumerate the Frobenius-Schur indicators
of the irreducible characters in a real block that has a dihedral defect group.
We also determine the vertices of the components of the involution module in
such a block.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph