MODULe L
ProoF a prom
F1¬ LDS s Anse exkon 1,
FveaSinste seld E
a
FiNITE
33. m chaachevs
to Zp whaL p is
ield 1omozphSc
Theomr| f abeve HhaaRa E has eumok.
n ve a un by
het E be fin5k envens3on ° duj n,
a
men E has p w P elumunb).
F. Lf F has ay elameoh
finik ield
hoRem2
aeleme. eemeols
tooooned n 4n
be a oris field o
e elamanb 1 £ aai
eensjon dagr n algepraiC elosn p Zp. a
e n thar
E is aiosle omÙal
t is 7eaos 'm Zp e, ha pougn
the
eve the frld F. pRLLisel
a veotoy
ea bass3 gva E
Le 3 . . dn
F. Then evena Be£ en be u qu
Spha oves
w
eemons o £ . 1hen
wha b; F, ConsdeA the set E o no 3ea0
Adeg pI
+bn n, i muttip 15caive aaph ok
d
kno nat " a
be t q, elumers spaahon feld muslipica+on.
Sinu cach bi mo A wndas
án ele muoks
R5nas com bonaMbs We kous har oades o
torl neoSuuh elsint Ler e E "
uou).
aides ordea a
8*op agang'
ko eAth
onu d k
Le
ovde q
CoRolo
P :km bor sona m
Eis hnsfiid ok ehoacheoshc Pi
tonebnsy P eemonh oR SonA Possh
- o (a)-k
)
, is a 3e o he poanomo4
ge, eath elamso E i a 3eo anorkoiAAe
- fF held o P a i chawaunushe p wolh alaebc
clas
Claad OeE a 3eso
a3eAo o
etosa F,then h a s p" d int eros P.
Henu we geh har each eleru o o E Is
BaiaAse tload, - ha fathorss
Canooh be A 3e 7-*2 i alaekonean
No An elemen BE evea hay held o a prodne o lintaA {at o
-
amos zeras ocCus
ave
- - ck use Jet reas
bemuse h pea monnsa So i suhas to s h a hat now
a - 7 *m p
pAetisey mi 3 esos moRA h a n onu ha faco4 zahln
Hena E Loins
- h a s mulip)x h
We Show that each 3ero
n . Ao s cleas thak
Demsho
field is an
n" Aoot og s h uiphs
n ebmnr d a a
peh»vive n" Rook oun he 3eo
1. 1's a
and
Pemesh
fimie Aeld
3es eumeok a
no
Let in take. fm) then
a a (p"-1) *" Ar
a
elumek. Db
3 on 3 eso
Ainin dicd F is eoL. e
A fm tmrniim bh 4
-)-1
ennsito F. (P"1)-1 - 1)-2
ProoF a prom
F1¬ LDS s Anse exkon 1,
FveaSinste seld E
a
FiNITE
33. m chaachevs
to Zp whaL p is
ield 1omozphSc
Theomr| f abeve HhaaRa E has eumok.
n ve a un by
het E be fin5k envens3on ° duj n,
a
men E has p w P elumunb).
F. Lf F has ay elameoh
finik ield
hoRem2
aeleme. eemeols
tooooned n 4n
be a oris field o
e elamanb 1 £ aai
eensjon dagr n algepraiC elosn p Zp. a
e n thar
E is aiosle omÙal
t is 7eaos 'm Zp e, ha pougn
the
eve the frld F. pRLLisel
a veotoy
ea bass3 gva E
Le 3 . . dn
F. Then evena Be£ en be u qu
Spha oves
w
eemons o £ . 1hen
wha b; F, ConsdeA the set E o no 3ea0
Adeg pI
+bn n, i muttip 15caive aaph ok
d
kno nat " a
be t q, elumers spaahon feld muslipica+on.
Sinu cach bi mo A wndas
án ele muoks
R5nas com bonaMbs We kous har oades o
torl neoSuuh elsint Ler e E "
uou).
aides ordea a
8*op agang'
ko eAth
onu d k
Le
ovde q
CoRolo
P :km bor sona m
Eis hnsfiid ok ehoacheoshc Pi
tonebnsy P eemonh oR SonA Possh
- o (a)-k
)
, is a 3e o he poanomo4
ge, eath elamso E i a 3eo anorkoiAAe
- fF held o P a i chawaunushe p wolh alaebc
clas
Claad OeE a 3eso
a3eAo o
etosa F,then h a s p" d int eros P.
Henu we geh har each eleru o o E Is
BaiaAse tload, - ha fathorss
Canooh be A 3e 7-*2 i alaekonean
No An elemen BE evea hay held o a prodne o lintaA {at o
-
amos zeras ocCus
ave
- - ck use Jet reas
bemuse h pea monnsa So i suhas to s h a hat now
a - 7 *m p
pAetisey mi 3 esos moRA h a n onu ha faco4 zahln
Hena E Loins
- h a s mulip)x h
We Show that each 3ero
n . Ao s cleas thak
Demsho
field is an
n" Aoot og s h uiphs
n ebmnr d a a
peh»vive n" Rook oun he 3eo
1. 1's a
and
Pemesh
fimie Aeld
3es eumeok a
no
Let in take. fm) then
a a (p"-1) *" Ar
a
elumek. Db
3 on 3 eso
Ainin dicd F is eoL. e
A fm tmrniim bh 4
-)-1
ennsito F. (P"1)-1 - 1)-2
