]> 2026-06-14T14:17:18+00:00 Solvable group 0 en tabular 2 Term 2024-08-03T07:16:09Z 2460525.8028819 Solvable group 0 Solvable group#DummitFoote;105;formal definition 105 formal definition 0 Solvable group#Herstein;116;formal definition, introduced between exercises 116 formal definition, introduced between exercises 0 Solvable group#Lang;18;definition in paragraph 18 definition in paragraph 0 Solvable group#RobinsonGT;121;formal definition 121 formal definition 0 Solvable group#AlperinBell;95;definition in paragraph 95 definition in paragraph 0 Solvable group#RobinsonAA;171;definition in paragraph 171 definition in paragraph 0 Solvable group#Fraleigh;194;Definition 3.4.16;formal definition 194 Definition 3.4.16 formal definition 0 Solvable group#Hungerford;102;Definition 7.9;formal definition 102 Definition 7.9 formal definition 0 Solvable group#Gallian;563 563 0 1 plainlist 2 [[Definition style::tabular]] Solvable group# QUERYa06e7f16fa3dc8cb712b7a1b798724eb 0 1 table 2 [[Satisfies property::Solvable group]] Solvable group# QUERYfb5bc3f07871381fe91ad2ae6ad4819e 0 1 table 2 [[Dissatisfies property::Solvable group]] Solvable group# QUERY4772278b6c8c830152bb9c90f71b7266 0 2 plainlist 4 [[Category:Group property satisfactions]] [[Fact about.Page::Solvable group]] [[Fact about.Page::Solvable group]] [[Category:Group property satisfactions]] Solvable group# QUERY607065d2dc3c0a1ff0cf67c16834d6ef 0 2 plainlist 4 [[Category:Group property dissatisfactions]] [[Fact about.Page::Solvable group]] [[Fact about.Page::Solvable group]] [[Category:Group property dissatisfactions]] Solvable group# QUERYec40bb7f835857152bb7a6acfe2e89f1 0 2 table 9 <q>[[Satisfies property::Solvable group]] [[Importance rank::1]] OR [[Satisfies property.Stronger than::Solvable group]] [[Importance rank::1]]</q> Solvable group# QUERYc2b5415a17bcf04dd2a220cdcc4dd9fa 0 2 table 9 <q>[[Satisfies property::Solvable group]] [[Importance rank::2]] OR [[Satisfies property.Stronger than::Solvable group]] [[Importance rank::2]]</q> Solvable group# QUERY4ae857c07fa07fe75efe35e244813ec5 0 2 table 9 <q>[[Satisfies property::Solvable group]] [[Importance rank::3]] OR [[Satisfies property.Stronger than::Solvable group]] [[Importance rank::3]]</q> Solvable group# QUERY2ba7624f064cf4889c03d2c8f0dc72fb 0 2 table 9 <q>[[Dissatisfies property::Solvable group]] [[Importance rank::1]] OR [[Dissatisfies property.Weaker than::Solvable group]] [[Importance rank::1]]</q> Solvable group# QUERY145e0f3008af65ebe5435bb107c7c84e 0 2 table 9 <q>[[Dissatisfies property::Solvable group]] [[Importance rank::2]] OR [[Dissatisfies property.Weaker than::Solvable group]] [[Importance rank::2]]</q> Solvable group# QUERYe586d1b9c1cab81cbf72d6198e1fa953 0 2 table 9 <q>[[Dissatisfies property::Solvable group]] [[Importance rank::3]] OR [[Dissatisfies property.Weaker than::Solvable group]] [[Importance rank::3]]</q> Solvable group# QUERYef8ecd8ecb2e4b84a7c53d4dc02b2e61 0 1 table 2 [[Defining ingredient::Solvable group]] Solvable group# QUERY8b21ae68facdf7a51e45f06c372e6c0b 0 2 table 5 [[Fact about:: <q>[[Page::Solvable group]] [[Number::1]]</q> ]] Solvable group# QUERY1bc64a7d9009aeeebfb37dba21222283 0 2 table 3 [[Fact about.Page::Solvable group]] Solvable group# QUERYbb8840b8fd4840bfa7db163a5592c51b 0 1 table 2 [[Survey article about::Solvable group]] Solvable group# QUERYce24a804e639a0943da5dbdc651a8347 0 2 plainlist 3 [[Survey article about.Defining ingredient::Solvable group]] Solvable group# QUERYe8a270bfb9bd7a17c0e62fb6f610efc7 0 1 plainlist 2 [[Analogue of::Solvable group]] Solvable group# QUERY9a6582483302fc5ad3fefcd761da390b 0 1 plainlist 2 [[Variation of::Solvable group]] Solvable group# QUERY1780644e46b6dbd5b4f02c865eda2517 0 1 plainlist 2 [[Opposite of::Solvable group]] Solvable group# QUERY671735605a19e90d94bf7a5c404b32e3 0 2 plainlist 4 [[Fact about.Page::Solvable group]] [[Category:Group property implications]] Solvable group# QUERY6d728a236a3f6aa3afed2fb752557bf6 0 2 plainlist 4 [[Fact about.Page::Solvable group]] [[Category:Group property non-implications]] Solvable group# QUERY86455c3f41b04a969ebc6188098a612a 0 2 plainlist 4 [[Fact about.Page::Solvable group]] [[Category:Group metaproperty satisfactions]] Solvable group# QUERY9ed4a7749aa6be0225e4d0ec652ec7a2 0 2 plainlist 4 [[Fact about.Page::Solvable group]] [[Category:Group metaproperty dissatisfactions]] Solvable group# QUERYb534ff2099981f1fddb9df3ad7b74526 0 1 plainlist 4 [[Satisfies property::Solvable group]] [[Dissatisfies property::Abelian group]] Solvable group# QUERYd1557198a328372081566de2a58ec349 0 1 list 4 [[Stronger than::Solvable group]] [[Weaker than::Abelian group]] Solvable group# QUERY690691ab1591174996f6904882f66c33 0 1 broadtable 4 [[Stronger than::Solvable group]] [[Weaker than::Abelian group]] Solvable group# QUERY688c19495052632022ae36a984aaed05 0 1 plainlist 4 [[Satisfies property::Solvable group]] [[Dissatisfies property::Cyclic group]] Solvable group# QUERY80a865e81c165297a081517c8f70f1f7 0 1 list 4 [[Stronger than::Solvable group]] [[Weaker than::Cyclic group]] Solvable group# QUERY727c988e109dd6462c49ce8ce152581a 0 1 broadtable 4 [[Stronger than::Solvable group]] [[Weaker than::Cyclic group]] Solvable group# QUERY0e4d669b1d9fe651d74881aef3fbbcc6 0 1 plainlist 4 [[Satisfies property::Solvable group]] [[Dissatisfies property::Nilpotent group]] Solvable group# QUERY1d6956252bce12543c8c61e552216574 0 1 list 4 [[Stronger than::Solvable group]] [[Weaker than::Nilpotent group]] Solvable group# QUERY95a94ea6a10732c14dd43030296dcc14 0 1 broadtable 4 [[Stronger than::Solvable group]] [[Weaker than::Nilpotent group]] Solvable group# QUERYca958f78fa6def24495221dbebb98f6d 0 1 plainlist 4 [[Satisfies property::Solvable group]] [[Dissatisfies property::Metabelian group]] Solvable group# QUERYddf5bc378e29330b045204a54a50aa05 0 1 list 4 [[Stronger than::Metabelian group]] [[Weaker than::Solvable group]] Solvable group# QUERYa81b3f87ee263bd666af31b3fb450f3b 0 1 broadtable 4 [[Stronger than::Metabelian group]] [[Weaker than::Solvable group]] Solvable group# QUERYd685bd90f20cec9ed2e2b7c697a6cf5c 0 1 plainlist 4 [[Satisfies property::Solvable group]] [[Dissatisfies property::Supersolvable group]] Solvable group# QUERY0c6a0f265e3259dc3b8962ccdfc490a8 0 1 list 4 [[Stronger than::Solvable group]] [[Weaker than::Supersolvable group]] Solvable group# QUERY9e54b74f860b86fb8aade23a9a90c3b3 0 1 broadtable 4 [[Stronger than::Solvable group]] [[Weaker than::Supersolvable group]] Solvable group# QUERY4fef5e2ee17a83a4101915d5c43578dc 0 1 plainlist 4 [[Satisfies property::Solvable group]] [[Dissatisfies property::Polycyclic group]] Solvable group# QUERYc115ed8568aa6f23aa549b39d8b110a4 0 1 list 4 [[Stronger than::Solvable group]] [[Weaker than::Polycyclic group]] Solvable group# QUERY39eb46a89094eb79a2a522a84be0d744 0 1 broadtable 4 [[Stronger than::Solvable group]] [[Weaker than::Polycyclic group]] Solvable group# QUERYded35480091651a56dc30004b00dc762 0 1 plainlist 4 [[Satisfies property::Solvable group]] [[Dissatisfies property::Metacyclic group]] Solvable group# QUERYb3ac20dca9ccc5595a0f7f22e67cc216 0 1 plainlist 4 [[Stronger than::Solvable group]] [[Weaker than::Metacyclic group]] Solvable group# QUERY43517ad3b4a5c5f9d89bbfd68451b305 0 1 list 4 [[Stronger than::Hypoabelian group]] [[Weaker than::Solvable group]] Solvable group# QUERY28df415c4da290aba7316ac0d4f1d298 0 1 broadtable 4 [[Stronger than::Hypoabelian group]] [[Weaker than::Solvable group]] Solvable group# QUERY6a2e688114e93fbbf9d5450a2758dac2 0 1 list 4 [[Stronger than::Imperfect group]] [[Weaker than::Solvable group]] Solvable group# QUERYe78ae17c61ab5ddf5c282b8322ebc858 0 1 broadtable 4 [[Stronger than::Imperfect group]] [[Weaker than::Solvable group]] Solvable group# QUERY7c80f1fd6c697c43835685cb78ab8719 Projective special linear group:PSL(3,2) 0 en Projective special linear group:PSL(3,2) Alternating group:A6 0 en Alternating group:A6 Cyclic group:Z2 0 en Cyclic group:Z2 Cyclic group:Z3 0 en Cyclic group:Z3 Symmetric group:S3 0 en Symmetric group:S3 Elementary abelian group:E25 0 en Elementary abelian group:E25 Elementary abelian group:E49 0 en Elementary abelian group:E49 Quaternion group 0 en Quaternion group Dihedral group:D14 0 en Dihedral group:D14 Dihedral group:D22 0 en Dihedral group:D22 Dihedral group:D26 0 en Dihedral group:D26 Alternating group:A4 0 en Alternating group:A4 Dihedral group:D8 0 en Dihedral group:D8 General affine group:GA(1,11) 0 en General affine group:GA(1,11) Symmetric group:S4 0 en Symmetric group:S4 Order has only two prime factors implies solvable 0 en Order has only two prime factors implies solvable Dihedral implies solvable 0 en Dihedral implies solvable Odd-order implies solvable 0 en Odd-order implies solvable Solvable automorphism group implies solvable of derived length at most one more 0 en Solvable automorphism group implies solvable of derived length at most one more Abelian group 0 en Abelian group Cyclic group 0 en Cyclic group Nilpotent group 0 en Nilpotent group 0 Order has only two prime factors implies solvable#Solvable group;2# f8248d628ac26048e9cdda4139b97cf6 0 Order has only two prime factors implies solvable#Solvable group# f775043ad3e154aa86cea251efab18bd 0 Dihedral implies solvable#Solvable group;2# f8248d628ac26048e9cdda4139b97cf6 0 Odd-order implies solvable#Solvable group;2# f8248d628ac26048e9cdda4139b97cf6 0 Solvable automorphism group implies solvable of derived length at most one more#Solvable group;2# f8248d628ac26048e9cdda4139b97cf6 0 Solvable not implies nilpotent#Solvable group;2# f8248d628ac26048e9cdda4139b97cf6 0 Solvable not implies solvable automorphism group#Solvable group;2# f8248d628ac26048e9cdda4139b97cf6 0 Imperfect not implies hypoabelian#Solvable group;2# f8248d628ac26048e9cdda4139b97cf6 Dissatisfies property 132 en Dissatisfies property Satisfies property 132 en Satisfies property Proves property satisfaction of 132 en Proves property satisfaction of Stronger than 132 en Stronger than Page 132 en Page