DD(B)UPE(i), (ii)All(i), (iii)(ii), (iii)AllConsider the subgroup 10Z of 2Z, which of the following are correct?(i): The cosets of 10Z in 2Z are 10Z, 2 + 10Z, 4+ 10Z,6 + 10Z,8 + 10Z.(ii): [2Z: 10Z] 5.(iii): 10Z is a normal subgroup of 2Z.:

Elements of the group 2Z are {. . . . . ,-4, -2, 0, 2, 4, 6, 8, 10, . . . . } So, cosets of 2Z/10Z…

Answered: A) (i), (ii) B C D E All (i), (iii)…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A) (i), (ii) B C D E All (i), (iii) (ii), (iii) All Consider the subgroup 10Z of 2Z, which of the following are correct? (i): The cosets of 10Z in 2Z are 10Z,2+ 10Z,4+ 10Z,6 + 10Z,8 + 10Z. (ii): [2Z: 10Z) = 5. (iii): 10Z is a normal subgroup of 2Z.