Journal article
Splitting fields for characteristic polynomials of matrices with entries in a finite field
Finite fields and their applications, v 14(1), pp 250-257
2008
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Abstract
Let
M
n
be the set of all
n
×
n
matrices with entries in the finite field
F
q
. Let
X
(
A
)
be the degree of the splitting field of the characteristic polynomial of
A, and let
μ
n
be the
average degree:
μ
n
=
1
|
M
n
|
∑
A
∈
M
n
X
(
A
)
.
A theorem of Reiner is used to prove that, as
n
→
∞
,
μ
n
=
e
B
n
/
log
n
(
1
+
o
(
1
)
)
,
where
B is an explicit constant.
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Details
- Title
- Splitting fields for characteristic polynomials of matrices with entries in a finite field
- Creators
- Eric Schmutz - Drexel University
- Publication Details
- Finite fields and their applications, v 14(1), pp 250-257
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000253167600021
- Scopus ID
- 2-s2.0-37549048175
- Other Identifier
- 991019169419804721
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InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics
- Mathematics, Applied