(13) Let P = {1, 2, ..., 13} and B = {{i,1+i, 3+ i, 9+ i} : 1 < i < 13}, where all sumsare reduced modulo 13. Use this PBD to construct an idempotent quasigroup oforder 13.

Given as, P=1,2,,...13 and B=i,1+i,3+i,9+i:1≤i≤13

Answered: this PBD to

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 39E

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