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Is every generator of $Z({\rm Spin}_n^{\epsilon}(q))$ a square element in ${\rm Spin}_n^{\ep...

With the help of both Professors Robert Guralnick and Frank Lübeck, I get following two answers extracted from their reply to my email. The first one due to Professor Robert Guralnick. Suppose $x^2= …
Yi Wang's user avatar
  • 271
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Is every generator of $Z({\rm Spin}_n^{\epsilon}(q))$ a square element in ${\rm Spin}_n^{\ep...

A. I wonder if every generator of $Z({\rm Spin}_n^{\epsilon}(q))$ is a square element in ${\rm Spin}_n^{\epsilon}(q)$? B. When $Z(\Omega_{2m}^{\epsilon}(q))\cong C_2$, is the unique element of order …
Yi Wang's user avatar
  • 271