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Results tagged with algebraic-groups
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user 106849
Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.
3
votes
1
answer
148
views
Splitting of regular semisimple conjugacy classes in $SL_{n}(q)$
I have the following question: Consider the following two finite groups: $GL_{n}(q)$ and $SL_{n}(q)$. What I am trying to understand is the regular semisimple conjugacy classes of $SL_{n}(q)$. Now, f …
- 117
3
votes
1
answer
831
views
Regular semisimple elements in $SL(n,q)$
Consider $G=GL(n,q)$. A regular semisimple element of this group, is a matrix, whose characterestic polynomial is square-free and same as minimal polynomial. Results show that the number of such matr …
- 117