2 votes 2 votes There exists a group with a proper subgroup isomorphic to itself. Set Theory & Algebra tifrmaths2011 group-theory group-isomorphism + – makhdoom ghaya asked Dec 9, 2015 makhdoom ghaya 678 views answer comment Share Follow See 1 comment See all 1 1 comment reply rish1602 commented Jun 28, 2021 reply Follow Share yes it is possible 0 votes 0 votes Please log in or register to add a comment.
1 votes 1 votes Let f:Z->2Z , see 2Z is proper subset of Z , again f has homorphisam from Z to 2Z.. This example will work in this case ami answered Aug 17, 2018 ami comment Share Follow See all 0 reply Please log in or register to add a comment.