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Mathematics, 14.09.2019 05:20, bryantjorell
Let g be a group. a subgroup h of g is called a characteristic subgroup if for all Ο β aut(g) we have Ο(h) β h. prove each of the following:
i. any characteristic subgroup is normal.
ii. the commutator subgroup is a characteristic subgroup.
iii. the product of two characteristic subgroups is a characteristic subgroup.
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Let g be a group. a subgroup h of g is called a characteristic subgroup if for all Ο β aut(g) we hav...
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