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 ≅ Z_p for some prime p.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:08 AM

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The following conditions on a finite group Gare equivalent. (i) I GI is prime. (ii) G

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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

Algebra Graduate Texts In Mathematics 73

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