please answer 7 and 22
7. 8. 19 Write the class equation for S5 and for A5. If a square remains fixed in the plane, how many different ways square be colored if three colors are used? I Houm
- 22. Let a € G. Show that for any g €G, gC(a)g-1 = C(gag-?). 23. Let |G| = p" be a nonabelian group for p prime. Prove thit Z(G) < pn-1. a 24. Let G be a group with order on where is prime and va finite a set If
7. 8. 19 Write the class equation for S5 and for A5. If a square remains fixed in the plane, how many different ways squ
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7. 8. 19 Write the class equation for S5 and for A5. If a square remains fixed in the plane, how many different ways squ
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