Template:Group theory sidebar

Algebraic structure → Group theory
Group theory
Basic notions Subgroup Normal subgroup Quotient group (Semi-) direct product Group homomorphisms kernel image direct sum wreath product simple finite infinite continuous multiplicative additive cyclic abelian dihedral nilpotent solvable
Finite groups Classification of finite simple groups Cyclic Cp Symmetric Sn Dihedral Dn Alternating An Mathieu M11  M12  M22  M23  M24 Conway Co1  Co2  Co3 Janko J1   J2   J3   J4 Fischer F22  F23  F24 Monster M Baby Monster B
Discrete groups Lattices Integers (Z) Lattice Modular PSL(2,Z) SL(2,Z)
Topological / Lie groups General linear GL(n) Special linear SL(n) Orthogonal O(n) Special orthog. SO(n) Unitary U(n) Special unitary SU(n) Symplectic Sp(n) Euclidean E(n) Solenoid Circle G2 F4 E6 E7 E8 Lorentz Poincaré Conformal Loop Diffeomorphism Infinite dimensional Lie group O(∞)  SU(∞)  Sp(∞)
Algebraic groups Elliptic curve Linear algebraic group Abelian variety
List of topics Glossary

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Algebraic structure → Group theory
Group theory
Basic notions Subgroup Normal subgroup Quotient group (Semi-) direct product Group homomorphisms kernel image direct sum wreath product simple finite infinite continuous multiplicative additive cyclic abelian dihedral nilpotent solvable
Finite groups Classification of finite simple groups Cyclic Cp Symmetric Sn Dihedral Dn Alternating An Mathieu M11  M12  M22  M23  M24 Conway Co1  Co2  Co3 Janko J1   J2   J3   J4 Fischer F22  F23  F24 Monster M Baby Monster B
Discrete groups Lattices Integers (Z) Lattice Modular PSL(2,Z) SL(2,Z)
Topological / Lie groups General linear GL(n) Special linear SL(n) Orthogonal O(n) Special orthog. SO(n) Unitary U(n) Special unitary SU(n) Symplectic Sp(n) Euclidean E(n) Solenoid Circle G2 F4 E6 E7 E8 Lorentz Poincaré Conformal Loop Diffeomorphism Infinite dimensional Lie group O(∞)  SU(∞)  Sp(∞)
Algebraic groups Elliptic curve Linear algebraic group Abelian variety
List of topics Glossary

This template includes collapsible lists.

• • To set it to display all lists when it appears (i.e. all lists expanded), use:
•  {{Group theory sidebar |expanded=all}} or, if enabled, {{Group theory sidebar |all}}  (i.e. omitting "expanded=").

• • To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use:
•  {{Group theory sidebar |expanded=listname}} or, if enabled, {{Group theory sidebar |listname}}
• …where listname is one of the following (do not include any quotemarks):
• • basics
  • finite
  • discrete
  • top/lie
  • algebraic
• For example, {{Group theory sidebar |expanded=top/lie}} or, if enabled, {{Group theory sidebar |top/lie}}