Live briefing
Everything about Alternating group
Group of even permutations of a finite set
In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on a set of n elements is called the alternating group of degree n, or the alternating group on n letters and denoted by An or Alt(n). Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Alternating groupA 5-minute orientation
- Skim a recent paper: Overcoming the Potential Window-Limited Functional Group Compatibility by Alternating Current ElectrolysisInfluential work since 2022
- Pick up a classic book: Our Band Could Be Your LifeThe most-reprinted book on the subject
- Read the landmark paper: Graph puzzles, homotopy, and the alternating groupCited 115 times
- Go sideways: Symmetric groupA closely related topic
- Go sideways: Automorphisms of the symmetric and alternating groupsA closely related topic
📖 Definitions
Noun a group of even permutations of a finite set
🏆 Landmark papers (most cited)
Graph puzzles, homotopy, and the alternating group
Conditional Diagnosability of Alternating Group Graphs
Conditional diagnosability of alternating group networks
A note on the alternating group network
DES-like functions can generate the alternating group
Noncommutative Riemannian geometry of the alternating group
The automorphism group of the alternating group graph
Orienting split-stars and alternating group graphs
🆕 Influential since 2022
Overcoming the Potential Window-Limited Functional Group Compatibility by Alternating Current Electrolysis
The High Faulty Tolerant Capability of the Alternating Group Graphs
Component Connectivity of Alternating Group Networks and Godan Graphs
Component Fault Diagnosis and Fault Tolerance of Alternating Group Graphs
Non-Inclusive Diagnosability of Alternating Group Graphs
📚 Books worth reading
Our Band Could Be Your LifeMichael Azerrad · 2001
England's Hidden ReverseDavid Keenan · 2003
Depeche ModeSteve Malins · 1999
Ageing SocietiesSarah Harper · 2006
Everybody loves our townMark Yarm · 2011
Exit musicMac Randall · 2004
A light that never goes outTony Fletcher · 2012
Goodbye 20th CenturyDavid Browne · 2008
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Symmetric group In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group…
- Automorphisms of the symmetric and alternating groups In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples…
- Binary icosahedral group In mathematics, the binary icosahedral group 2I or ⟨2,3,5⟩ is a certain nonabelian group of order 120. It is an extension of the icosahedral group I or…
- Perfect group In mathematics, specifically in group theory, a group is said to be perfect if it equals its own commutator subgroup (i.e., has trivial abelianization);…
- Dihedral group In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the…
- Icosahedral symmetry In mathematics, and especially in geometry, an object has icosahedral symmetry if it has the same symmetries as a regular icosahedron. Examples of other…
- Tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection…
- Outer automorphism group In mathematics, the outer automorphism group of a group, G, is the quotient, Aut(G) / Inn(G), where Aut(G) is the automorphism group of G and Inn(G) is…