Baer-Specker group

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VIEW FACTS USING THIS AS EXAMPLE: All facts |Group property non-implications |Subgroup property non-implications |Group metaproperty dissatisfactionsSubgroup metaproperty dissatisfactions

Definition

The Baer-Specker group is defined as the external direct product of countably many copies of the group of integers.

Arithmetic functions

Function	Value	Explanation
order	infinite (uncountable)
exponent	infinite
Frattini length	1
Fitting length	1

Group properties

Property	Satisfied	Explanation
abelian group	Yes
nilpotent group	Yes
finitely generated group	No

Facts

• Baer-Specker group is not free abelian