Show that every group of order (35) 3 has a normal subgroup of order 125.

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Show that every group of order (35)³ has a normal subgroup of order 125.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 08:34 AM

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Show that every group of order (35) 3 has a normal subgroup of order 125.

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The divisors of 35 3 that are not divisible by 5 are 1 7 49 and 343 which are congruent to 1 2 4 and ...View the full answer

A First Course In Abstract Algebra

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