# Baer-Specker group

From Groupprops

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## 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 |