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Revision as of 04:04, 11 November 2012
, 04:04, 11 November 2012→Current Work
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Table 42.1 Group Representation RepA (V4)
Abstract Logical Active Active Genetic
Element Element List Term Element
1 (da)(db)(di)(du) <d!> d! 1
r da (db) di (du) <da di> da.di! dai
s (da) db (di) du <db du> db.du! dbu
t da db di du <d*> d* dai*dbu
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Table 42.2 Group Representation RepB (V4)
Abstract Logical Active Active Genetic
Element Element List Term Element
1 (da)(db)(di)(du) <d!> d! 1
r da (db)(di) du <da du> da.du! dau
s (da) db di (du) <db di> db.di! dbi
t da db di du <d*> d* dau*dbi
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Table 42.3 Group Representation RepC (V4)
Abstract Logical Active Active Genetic
Element Element List Term Element
1 (dm)(dn) <d!> d! 1
r dm (dn) <dm> dm! dm
s (dm) dn <dn> dn! dn
t dm dn <d*> d* dm*dn
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Table 43.1 The Differential Group G = V4
Abstract Logical Active Active Genetic
Element Element List Term Element
1 (dm)(dn) <d!> d! 1
r dm (dn) <dm> dm! dm
s (dm) dn <dn> dn! dn
t dm dn <d*> d* dm*dn
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Table 43.2 Cosets of Gm in G
Group Logical Logical Group
Coset Coset Element Element
Gm (dm) (dm)(dn) 1
(dm) dn dn
Gm*dm dm dm (dn) dm
dm dn dn*dm
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Table 43.3 Cosets of Gn in G
Group Logical Logical Group
Coset Coset Element Element
Gn (dn) (dm)(dn) 1
dm (dn) dm
Gn*dn dn (dm) dn dn
dm dn dm*dn
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