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Jeremy Rickard
Jeremy Rickard
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"Groups with a small number of automorphisms" by H. de Vries, A. B. de Miranda (Math Zeitschrift (1957/58) Volume 68, Issue 1, pp 450-464) linklink gives examples with cyclic automorphism groups of order 4 and 6 (and it looks as though 2,4 and 6 may be the only possible orders, but I'm not completely sure about that).

Volume 2 of "Infinite Abelian Groups" by L. Fuchs has chapters with lots of information about endomorphism rings and automorphism groups of abelian groups, which may interest you.

"Groups with a small number of automorphisms" by H. de Vries, A. B. de Miranda (Math Zeitschrift (1957/58) Volume 68, Issue 1, pp 450-464) link gives examples with cyclic automorphism groups of order 4 and 6 (and it looks as though 2,4 and 6 may be the only possible orders, but I'm not completely sure about that).

Volume 2 of "Infinite Abelian Groups" by L. Fuchs has chapters with lots of information about endomorphism rings and automorphism groups of abelian groups, which may interest you.

"Groups with a small number of automorphisms" by H. de Vries, A. B. de Miranda (Math Zeitschrift (1957/58) Volume 68, Issue 1, pp 450-464) link gives examples with cyclic automorphism groups of order 4 and 6 (and it looks as though 2,4 and 6 may be the only possible orders, but I'm not completely sure about that).

Volume 2 of "Infinite Abelian Groups" by L. Fuchs has chapters with lots of information about endomorphism rings and automorphism groups of abelian groups, which may interest you.

Source Link
Jeremy Rickard
Jeremy Rickard
  • 35.2k
  • 2
  • 110
  • 151

"Groups with a small number of automorphisms" by H. de Vries, A. B. de Miranda (Math Zeitschrift (1957/58) Volume 68, Issue 1, pp 450-464) link gives examples with cyclic automorphism groups of order 4 and 6 (and it looks as though 2,4 and 6 may be the only possible orders, but I'm not completely sure about that).

Volume 2 of "Infinite Abelian Groups" by L. Fuchs has chapters with lots of information about endomorphism rings and automorphism groups of abelian groups, which may interest you.