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$\mathbb{F}_q$-rational elements in unipotent classes of simple algebraic group in positive characteristic

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#algebraic-groups #groups-of-lie-type #unipotent-matrices
60
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$Spin_n(q)$, $SO_n(q)$, $\Omega_n(q)$ and their projective images

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#abstract-algebra #finite-groups #algebraic-groups #groups-of-lie-type
1.1k
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Sylow $p$-subgroups of finite simple groups of Lie type

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#group-theory #reference-request #finite-groups #simple-groups #groups-of-lie-type
42
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What is meant here by "element of the prime field corresponding to $a \in \mathbb{Z}$"?

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#lie-groups #lie-algebras #finite-fields #extension-field #groups-of-lie-type
241
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Finite simple group has order a multiple of 3?

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#abstract-algebra #reference-request #finite-groups #simple-groups #groups-of-lie-type
125
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What is the order and structure of Aut(SL$_2(p)$)?

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#abstract-algebra #group-theory #finite-groups #automorphism-group #groups-of-lie-type
76
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Reference for Finite groups of Lie type

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#finite-groups #groups-of-lie-type
121
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Can we make my analogy between semidirect products and twisted groups of lie type more precise?

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#group-theory #soft-question #group-homomorphism #semidirect-product #groups-of-lie-type
313
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What exactly is the group Omega(n,q) in MAGMA?

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#group-theory #finite-groups #lie-groups #magma-cas #groups-of-lie-type
335
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Lie Algebra SU(2)

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#hilbert-spaces #lie-groups #lie-algebras #spin-geometry #groups-of-lie-type
1.5k
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Why is $PGL_2(5)\cong S_5$?

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#group-theory #finite-groups #permutations #exceptional-isomorphisms #groups-of-lie-type
1.4k
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Abelian subgroups of $GL_n(\mathbb{F}_p)$

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#linear-algebra #group-theory #finite-groups #algebraic-groups #groups-of-lie-type
348
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non-split extension of the simple group $L_3(4)$

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#finite-groups #simple-groups #group-extensions #groups-of-lie-type
117
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concrete examples of finite groups of lie type

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#groups-of-lie-type
179
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How does the Frobenius map permute the roots

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#algebraic-groups #groups-of-lie-type

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