f G is a finite group and Z is its centre, then class equation of G is expressi o(G) o(G) = o(Z) + E o(N(a)) a & Z where the summation runs over one element a in each conjugate class.
f G is a finite group and Z is its centre, then class equation of G is expressi o(G) o(G) = o(Z) + E o(N(a)) a & Z where the summation runs over one element a in each conjugate class.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 30E: Let G be an abelian group of order 2n, where n is odd. Use Lagranges Theorem to prove that G...
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