scholarly journals Restricted Lazard elimination and modular Lie powers

2001 ◽  
Vol 71 (2) ◽  
pp. 259-278 ◽  
Author(s):  
Ralph Stöhr
Keyword(s):  
Finite Group ◽  
Lie Algebras ◽  
Positive Characteristic ◽  
Group Actions ◽  
Finite Group Actions ◽  
Free Lie Algebras ◽  
Restricted Lie Algebras

AbstractWe exhibit a variation of the Lazard Elimination theorem for free restricted Lie algebras, and apply it to two problems about finite group actions on free Lie algebras over fields of positive characteristic.

Equivariant Handles in Finite Group Actions

2020 ◽  
pp. 277-295
Author(s):  
Mark Steinberger ◽  
James West
Keyword(s):  
Finite Group ◽  
Group Actions ◽  
Finite Group Actions

scholarly journals Lattice of Finite Group Actions on Prism Manifolds

2012 ◽  
Vol 02 (03) ◽  
pp. 149-168
Author(s):  
John E. Kalliongis ◽  
Ryo Ohashi
Keyword(s):  
Finite Group ◽  
Group Actions ◽  
Finite Group Actions

Polarization of Separating Invariants

2008 ◽  
Vol 60 (3) ◽  
pp. 556-571 ◽  
Author(s):  
Jan Draisma ◽  
Gregor Kemper ◽  
David Wehlau
Keyword(s):  
Finite Group ◽  
Finite Groups ◽  
Group Actions ◽  
Upper Bounds ◽  
Weyl’S Theorem ◽  
Finite Group Actions ◽  
Separating Invariants ◽  
The Difference ◽  
Special Case

AbstractWe prove a characteristic free version of Weyl’s theorem on polarization. Our result is an exact analogue ofWeyl’s theorem, the difference being that our statement is about separating invariants rather than generating invariants. For the special case of finite group actions we introduce the concept of cheap polarization, and show that it is enough to take cheap polarizations of invariants of just one copy of a representation to obtain separating vector invariants for any number of copies. This leads to upper bounds on the number and degrees of separating vector invariants of finite groups.

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