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Everything about Perfect group
Mathematical group with trivial abelianization
In mathematics, specifically in group theory, a group is said to be perfect if it equals its own commutator subgroup ; equivalently, if the group has no non-trivial abelian quotients. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Perfect groupA 5-minute orientation
- Skim a recent paper: Group-theoretic approach to perfect fluid equations with conformal symmetryInfluential work since 2022
- Pick up a classic book: Contemporary MusiciansThe most-reprinted book on the subject
- Read the landmark paper: Perfect fluid spheres admitting a one-parameter group of conformal motionsCited 80 times
- Go sideways: Binary icosahedral groupA closely related topic
- Go sideways: Alternating groupA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Perfect fluid spheres admitting a one-parameter group of conformal motions
Group Partitions and Mixed Perfect Codes
On perfect group rings
Some Results on Semi-Perfect Group Rings
On Group and Nongroup Perfect Codes in $q$ Symbols.
A PERFECT GROUP OF ORDER 8,315,553,613,086,720,000 AND THE SPORADIC SIMPLE GROUPS
A new construction of group and nongroup perfect codes
Groups that have the same holomorph as a finite perfect group
🆕 Influential since 2022
Group-theoretic approach to perfect fluid equations with conformal symmetry
Perfect state transfer on Cayley graphs over the dicyclic group
Machine-Learned Renormalization-Group-Improved Gauge Actions and Classically Perfect Gradient Flows
Relations in the Cremona group over a perfect field
A group-based structure for perfect sequence covering arrays
📚 Books worth reading
Contemporary MusiciansAngela M. Pilchak · 2004
A Perfect Union of Contrary ThingsMaynard James Keenan · 2016
The price of perfectionMaxwell J. Mehlman · 2009
Rock Stars on GodDoug Van Pelt · 2004- 📕Topology and geometry in dimension threeWilliam H. Jaco · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- 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…
- Alternating group 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…
- Commutator subgroup In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators…
- Center (group theory) In abstract algebra, the center of a group G is the set of elements that commute with every element of G. It is denoted Z(G), from German Zentrum, meaning…
- Covering groups of the alternating and symmetric groups In the mathematical area of group theory, the covering groups of the alternating and symmetric groups are groups that are used to understand the projective…
- Acyclic space In mathematics, an acyclic space is a nonempty topological space X in which cycles are always boundaries, in the sense of homology theory. This implies…
- Quasisimple group In mathematics, a quasisimple group (also known as a covering group) is a group that is a perfect central extension E of a simple group S. In other words…
- Schur multiplier In mathematical group theory, the Schur multiplier or Schur multiplicator is the second homology group H 2 ( G , Z ) {\displaystyle H_{2}(G,\mathbb {Z}…