IL Show thai al subgroup of erder 125. 18. Show that there are no simple groups of order 255 = (3)(5)(17). 19 Show that there are no simmple groups of crder p'm, where pisa prime, risapositi

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.6: Quotient Groups
Problem 27E: 27. a. Show that a cyclic group of order has a cyclic group of order as a homomorphic image. ...
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Section 36 number 18
L Show that every group of eArder (35) has a oal subgroup of order 125.
18. Show that there are no simple groups of order 255 = (3)(5)(17).
19 Show that here are no simple grouns of order p'm, where p is a prime, risapositi-
Transcribed Image Text:L Show that every group of eArder (35) has a oal subgroup of order 125. 18. Show that there are no simple groups of order 255 = (3)(5)(17). 19 Show that here are no simple grouns of order p'm, where p is a prime, risapositi-
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