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$\exists g\in G: H\cap gPg^{-1}$ is a Sylow $p-$subgroup of $H$

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#abstract-algebra #group-theory #proof-verification #proof-explanation #group-actions
33
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Symmetric Group Acting on homocyclic groups

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#group-theory #abelian-groups #symmetric-groups #group-actions
232
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Existence left invariant mean implies existence right invariant mean

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#functional-analysis #group-actions
470
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basic questions about group action on affine schemes

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#group-theory #algebraic-geometry #group-actions #quotient-spaces
225
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Action of a symmetric group in operad

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#category-theory #group-actions #operads
515
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Categorical meaning of the action of a group on itself by conjugation

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#category-theory #group-actions
51
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Symmetric Group Acting on homocyclic groups pt2

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#group-theory #permutations #symmetric-groups #group-actions
84
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Multiple transitivity of finite groups.

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#group-theory #finite-groups #permutations #group-actions
845
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For which values of $k$ the action of $S_n$ on $k$-element subsets is faithful?

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#group-theory #group-actions
82
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What is the difference between a group action and a group acting on a set?

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#group-theory #group-actions
316
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Group action on fiber bundles

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#lie-groups #group-actions #fiber-bundles
131
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On the orbit decomposition of group of symmetries of a cube on the unit sphere

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#linear-algebra #abstract-algebra #group-theory #symmetric-groups #group-actions
159
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Understanding Generalised Quadrangles

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#group-theory #group-actions #algebraic-graph-theory #finite-geometry
122
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Relation between the isotropy of an action and the derivative of the action

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#differential-geometry #riemannian-geometry #group-actions
272
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Free discrete action vs discrete subgroup

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#group-actions #hyperbolic-geometry #covering-spaces #mobius-transformation

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