MATH 436 Notes: Subgroups And Cosets
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math 436 notes: subgroups and cosets. math 436 notes: subgroups and cosets. jonathan pakianathan september 15, 2003 1 subgroups deﬁnition 1.1. given a group (g,⋆), a subset h is called a subgroup of g if it itself forms a group under ⋆. explicitly this means: (1). the identity element e lies in h.(h has an identity) (2). for h1,h2 ∈ h, h1 ⋆h2 ∈ h. (h is closed under ...
MATH 436 Notes: Subgroups and Cosets. Jonathan Pakianathan September 15, 2003 1 Subgroups Deﬁnition 1.1. Given a group (G,⋆), a subset H is called a subgroup of G if it itself forms a group under ⋆. Explicitly this means: (1). The identity element e lies in H.(H has an identity) (2). For h1,h2 ∈ H, h1 ⋆h2 ∈ H. (H is closed under ...
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