Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Finite groups in which the centralizer of any element of order 2 is 2- closed - MaRDI portal

Finite groups in which the centralizer of any element of order 2 is 2- closed

From MaRDI portal
Publication:2395331

DOI10.2307/1970569zbMath0132.01704OpenAlexW2327902475MaRDI QIDQ2395331

Michio Suzuki

Publication date: 1965

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1970569




Related Items

On the sharp Baer-Suzuki theorem for the \(\pi \)-radical: sporadic groupsSubgroups of finite groupsPrimitive arcs in \(\mathrm{PG}(2,q)\)On the Mathieu groups M22 and M11Characterizations of linear groupsGroups with triangular classes of involutionsInvolutions in groups of exponent 12.A characterization of the group Aut(PGL(3, 4))On the number of irreducible real-valued characters of a finite groupSolvable conjugacy class graph of groupsFinite groups with a self-centralizing subgroup of order 6 and one class of involutionsOn finite groups generated by odd transpositions. IIIAn invariant ideal of a group ring of a finite group, and applicationsEndliche Gruppen, deren jede i-maximale Untergruppe unabhängig istOn the orders of real elements of solvable groupsSome simple groups with 2-local 3-rank at most 3Permutational characterization of certain Mathieu groupsOrders of real elements in finite groupsToward a sharp Baer-Suzuki theorem for the \(\pi \)-radical: exceptional groups of small rankA moonshine path from \(E_{8}\) to the MonsterOn intersections of nilpotent subgroups in finite groups with simple socle from the ``Atlas of finite groupsGroups saturated by finite simple groups.2-parts of real class sizesOn a relation between the Sylow and Baer-Suzuki theorems.A description of Baer-Suzuki type of the solvable radical of a finite group.Minimal irreducible linear groups and representation of finite groups.Groups generated by root-involutions. IOn Baer-Suzuki \(\pi\)-theorems.A characterization of some groups of characteristic twoFinite groupsFrom Thompson to Baer-Suzuki: a sharp characterization of the solvable radical.A remark on factorizable groupsGroups generated by root-involutions. IIFinite groups all of whose non-2-closed 2-local subgroups have Sylow 2- subgroups of class 2Gruppen mit 2-lokalen Untergruppen der 2-Länge 1On conjugacy classes of p-elementsA characterization of Fischer's sporadic simple group of the order \(2^{41}\cdot 3^{13}\cdot 5^2\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31\cdot 47\)A characterization of the finite simple groups \(M_{24}\), He and \(L_5(2)\)On permutation groups in which nontrivial elements fix two points or noneSolvable subgroups of finite simple groupsFinite groups with conditions on the centralizeps of π-elementsProducts of finite simple groupsA characterization of the Suzuki sporadic simple group of order 448,345,497,600On finite groups containing a CC-subgroupOn the structure of finite collineation groups containing symmetries of generalized quadranglesEinige Gruppen von Charakteristik 2-TypEndliche Gruppen, die von je zwei verschiedenen ihrer 2-Sylowgruppen erzeugt werdenReal Brauer charactersFinite groups admitting an automorphism with two fixed pointsBaer-Suzuki theorem for the solvable radical of a finite group.A generalization of Prince's theoremCentralizer lattices of finite simple groupsÜber einfache, lokal endliche GruppenEine Kennzeichnung der Mathieu-Gruppe \(M_{22}\) und der alternierenden Gruppe \(A_{10}\)A characterization of the Mathieu simple groups. I, IIA characterization of some multiply transitive permutation groups. IIThe simple groups related to \(M_{24}\)A 3-local characterization of SL(2,2n),noddOn finite groups containing no element of order sixA characterization of the Higman-Sims simple groupOn centralizers of ti-subgroups in finite groupsThe characterisation of the Suzuki groups by their Sylow 2-subgroupsBaer-Suzuki theorem for the \(\pi \)-radicalOn finite groups generated by odd transpositions. ISimple groups of conjugate type rank \(4\)Finite groups with centralizers of involutionsA characterization of four-dimensional projective special linear groups over finite fields of characteristic 2On finite groups with 2-closed or 2'-closed centralizer of involutionsOn some doubly transitive groupsFinite simple nonabelian (a)-groupsNonsolvable finite groups all of whose 2-local subgroups are solvable. ICharakterisierung der Gruppen PSL(\(2,p^1\)) und PSU(\(3,p^{2_1}\)) durch ihre CharaktertafelOn simple groups of order \(2^a \cdot 3^b7^c \cdot p\)On finite groups with solvable centralizers of involutionsFinite simple groups with unique 2-length of centralizers of involutionsThe characterization of finite groups whose Sylow 2-subgroups are of type \(L_3(q)\), \(q\) evenThe characterization of finite simple groups with no elements of order six by their element ordersIndex two simple groupsCHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICALA characterization of the Rudvalis simple group of order \(2^{14} \cdot 3^3 \cdot 5^3 \cdot 7 \cdot 13 \cdot 29\) by the centralizers of noncentral involutionsFinite groups with 2-decomposable centralizers of involutionsOn the Baer-Suzuki width of some radical classesVariations on the Baer-Suzuki theorem.The Baer-Suzuki theorem for groups of 2-exponent 4.Nonsolvable finite groups all of whose local subgroups are solvableOn free involutions in linear groups and collineation groups of translation planes