nilpotent
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 4E: 4. Prove that the special linear group is a normal subgroup of the general linear group .
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Question
Consider Z2 = {¯0, ¯1} and check whether the general linear group GL(2,Z2) of
2 × 2 matrices over Z2 is nilpotent or solvable.
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