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New posts in exceptional-isomorphisms
$SL_2(\mathbb Z_3)/Z(SL_2(\mathbb Z_3)) \cong A_4$
group-theory
symmetric-groups
group-isomorphism
exceptional-isomorphisms
Why is $PGL_2(5)\cong S_5$?
group-theory
finite-groups
permutations
exceptional-isomorphisms
groups-of-lie-type
Are all isomorphisms between the Fano plane and its dual of order two?
group-theory
graph-theory
projective-space
duality-theorems
exceptional-isomorphisms
Why is $PGL(2,4)$ isomorphic to $A_5$
group-theory
simple-groups
exceptional-isomorphisms
The last accidental spin groups
lie-groups
spin-geometry
exceptional-isomorphisms
The "fake $\mathrm{GL}_2(\mathbb{F}_3)$" and the binary octahedral group
group-theory
finite-groups
representation-theory
symmetric-groups
exceptional-isomorphisms
Binary tetrahedral group and $\rm{SL}_2(\mathbb F_3)$
group-theory
finite-groups
quaternions
exceptional-isomorphisms
Projectivization and stereographic projection, or: Why nonlinear + nonlinear = linear?
lie-groups
projective-geometry
mobius-transformation
stereographic-projections
exceptional-isomorphisms
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
reference-request
lie-algebras
exceptional-isomorphisms
Is the seven-dimensional cross product unique?
lie-groups
cross-product
orthogonal-matrices
octonions
exceptional-isomorphisms
Examples of non-obvious isomorphisms following from the first isomorphism theorem
abstract-algebra
group-theory
big-list
exceptional-isomorphisms
Why isn't $SO(3)\times SO(3)$ isomorphic to $SO(4)$?
lie-groups
topological-groups
exceptional-isomorphisms
Why $PSL_3(\mathbb F_2)\cong PSL_2(\mathbb F_7)$?
group-theory
simple-groups
exceptional-isomorphisms
Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
group-theory
finite-groups
exceptional-isomorphisms
Amazing isomorphisms [closed]
abstract-algebra
group-theory
soft-question
group-isomorphism
exceptional-isomorphisms
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