3. Let p be a prime number, and let G be a group of order |G| = p³ whose center Z has order |Z| = p. = (a) Show that if
Posted: Thu May 05, 2022 7:48 pm
3. Let p be a prime number, and let G be a group of order |G| = p³ whose center Z has order |Z| = p. = (a) Show that if x = G and x & Z, then the centralizer Gø {g € G | gx xg} has order p². (b) How many distinct conjugacy classes does G have? Justify your answer. =