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property is something that every group either satisfies or does not satisfy. Group properties must satisfy the condition of
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are two isomorphic groups, they either both have the property or both do not have the property.
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This category has the following 4 subcategories, out of 4 total.
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The following 85 pages are in this category, out of 85 total.
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185:This list may not reflect recent changes
180:Pages in category "Properties of groups"
712:Thin group (combinatorial group theory)
7:
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447:Infinite conjugacy class property
680:Subdirectly irreducible algebra
623:Residual property (mathematics)
285:Characteristically simple group
482:Markov property (group theory)
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241:Algebraically compact group
197:List of group theory topics
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722:Torsion-free abelian group
618:Representation rigid group
236:Algebraically closed group
354:Elementary amenable group
640:Serre's property FA
525:Nielsen–Schreier theorem
381:Finitely generated group
732:Triple product property
628:Residually finite group
219:Absolutely simple group
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702:T-group (mathematics)
675:Strictly simple group
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71:{\displaystyle G_{2}}
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44:{\displaystyle G_{1}}
780:Algebraic structures
469:Locally finite group
464:Locally cyclic group
396:Free-by-cyclic group
104:Abelian group theory
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547:P-constrained group
498:Metanilpotent group
246:Almost simple group
685:Superperfect group
665:SQ-universal group
386:Free abelian group
300:Complemented group
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690:Surjunctive group
596:Quasisimple group
584:Prosolvable group
535:Non-abelian group
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574:Powerful p-group
569:Polycyclic group
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508:Monothetic group
493:Metacyclic group
488:Metabelian group
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430:Hyperbolic group
359:Elementary group
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290:Class of groups
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231:Algebraic group
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24:invariance: if
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775:Group theory
670:Stable group
645:Simple group
608:Random group
376:Finite group
320:Cyclic group
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744:Word metric
655:Sofic group
579:Pro-p group
108:(2 C, 37 P)
22:isomorphism
769:Categories
707:Tame group
391:Free group
263:Baer group
420:HN group
371:FC-group
295:CN-group
275:CA-group
756:Z-group
209:A-group
168:(13 P)
128:(13 P)
148:(3 P)
18:group
51:and
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187:.
166:‎
146:‎
126:‎
106:‎
16:A
751:Z
739:W
697:T
635:S
603:R
591:Q
542:P
515:N
476:M
459:L
437:I
415:H
403:G
366:F
349:E
327:D
270:C
258:B
204:A
157:S
137:N
117:C
93:A
64:2
60:G
37:1
33:G
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