Question # If G acts on a set A tronsitivelj, show that any Subgroup H and G also acts on Jestriction of the A by the action of G on A. Futher, then show that the action of H on A may not be transitive.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.3: Permutation Groups In Science And Art (optional)
Problem 21E
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Question #
f G acts on a
set A tronsitively, show that
any Subgroup H and G also acts on
Jestriction of te
show that the action of H on A may
A by the
action of G on
A. Futher,
then
not
be transitive.
Transcribed Image Text:Question # f G acts on a set A tronsitively, show that any Subgroup H and G also acts on Jestriction of te show that the action of H on A may A by the action of G on A. Futher, then not be transitive.
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