Definition:Boolean Group
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Theorem
Let $\struct {G, \circ}$ be a group.
Then $\struct {G, \circ}$ is a Boolean group if and only if all its elements, other than the identity, have order $2$.
Also see
- Results about Boolean groups can be found here.
Source of Name
This entry was named for George Boole.
Sources
- 2008: Paul Halmos and Steven Givant: Introduction to Boolean Algebras ... (previous) ... (next): $\S 1$: Exercise $8$