Suppose that G is a finite simple group and contains subgroups Hand K such that |G:H| and |G:K| are prime. Show that |H| = |K|.
Suppose that G is a finite simple group and contains subgroups Hand K such that |G:H| and |G:K| are prime. Show that |H| = |K|.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 43E: 43. Suppose that is a nonempty subset of a group . Prove that is a subgroup of if and only if for...
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Suppose that G is a finite simple group and contains subgroups H
and K such that |G:H| and |G:K| are prime. Show that |H| = |K|.
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