kliens_four-group

introduction

%%visits: 2 There are specific properties of a klien 4 group. kliens_four-grou := $V_4 := A group with the rules | | e | a | b | c | |—–|—–|—–|—–|—–| | e | e | a | b | c | | a | a | e | c | b | | b | b | c | e | a | | c | c | b | a | e |

intuition

There are no non-abelian groups of order less than or equal to 5.

V₄ is the smallest non-cyclic group

V₄ is such that all elements different from e V₄ has the subgroups, ⟨a⟩, ⟨b⟩, ⟨c⟩, e, V₄ and ⟨a⟩ ≡ ⟨b⟩ = ℤ₄

rigour

exam clinic

resources

tags :math:groups_and_symmetries:introduction_to_abstract_algebra:

backlinks

• index_of_files.pd