The following conditions on a finite group Gare equivalent. (i) I GI is prime. (ii) G
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The following conditions on a finite group Gare equivalent.
(i) I GI is prime.
(ii) G ≅ (e) and G has no proper subgroups.
(iii) G ≅ Zp for some prime p.
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Answer Theorem The conditions i ii and iii on a finite group G are equivalent Proof i ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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