Show that C={−1,1,−ı,ı} where ı=(√(−1)) with addition operation is a group. Help!


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Question Number 191997 by Mastermind last updated on 05/May/23

$Show that C = {- 1, 1, - ı, ı} where$ $ı = \sqrt{- 1} with addition operation is a$ $group .$ $Help!$
Commented by Rasheed.Sindhi last updated on 05/May/23

$a d d i t i o n i s n o t d e f i n e d i n {- 1, 1, - i, i} .$
Commented by Mastermind last updated on 07/May/23

$Yes!$ $thank you so much$
	Answered by deleteduser1 last updated on 05/May/23

	$F o r a g r o u p G u n d e r o p e r a t i o n $ $B y i t s p r o p e r t i e s, i f a, b \in G, t h e n a b \in G$ $F o r C = {- 1, + 1, - i, i} u n d e r +, s i n c e 0 i s n o t i n$ $t h e s e t, (C, +) c a n n o t b e a g r o u p .$ $(C, \times), h o w e v e r, i s a g r o u p .$
	Commented by Mastermind last updated on 07/May/23

	$Wow!$ $Thank you so much, i really appreciate$
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