Give example of to prove that union of two groups need not be a group.
Answers
Answered by
0
Answer:
Hope so it is helpful.. Pls follow me.. Like.. Mark me as brainliest.. Thankyou
Step-by-step explanation:
If a group G is a union of two proper subgroup H1 and H2, then we must have H1⊄H2 and H2⊄H1, otherwise G=H1 or G=H2 and this is impossible as H1,H2 are proper subgroups. ... Thus, any group cannot be a union of proper subgroups.
Similar questions
Economy,
5 months ago
Math,
5 months ago
Math,
5 months ago
Chemistry,
11 months ago
World Languages,
11 months ago
Social Sciences,
1 year ago
Social Sciences,
1 year ago