The characterization of finite groups with abelian Sylow 2-subgroups

From MaRDI portal
Publication:2535699

DOI10.2307/1970648zbMath0184.04605OpenAlexW1993934043WikidataQ60043653 ScholiaQ60043653MaRDI QIDQ2535699

John H. Walter

Publication date: 1969

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

Full work available at URL: https://doi.org/10.2307/1970648




Related Items (only showing first 100 items - show all)

Inequalities involving the Delandtsheer--Doyen parameters for finite line-transitive linear spacesFinite groups with involution whose centralizer has a quotient group isomorphic with \({\mathcal L}_ 2(2^ n)\)3/2-transitive permutation groups and designsConjugacy classes of \(p\)-elements and normal \(p\)-complementsSimple groups with a small number of conjugacy classesOn automorphisms of irreducible linear groups with an abelian Sylow 2-subgroup.Algebraic realization for simple groupsLocally finite groups with small normalizersOn the exponent of the automorphism group of a compact Riemann surfaceOn the orders of conjugacy classes of cyclic subgroupsFinite nonsolvable groups with complemented nonmetacyclic subgroupsFinite groups admitting an almost regular automorphism of order 3On the Hall \(D_ \pi\)-property for finite groupsNon-soluble groups with few conjugacy classes of non-normal subgroups.Solvability of factorizable groups. IISubgroups of finite groups of Lie typeEndliche Gruppen mit einzelnen auflösbaren Untergruppen der Länge 2The irreducible characters of the simple group of M. Suzuki of order 448, 345, 497, 600A characterization of the group \(PSL_3(q)\) by its centralizer latticeA new characteristic subgroup of a \(p\)-stable group.Maximal subgroups of \(G_2(2^n)\)A reduction theorem for the Alperin weight conjecture.Transcendence degree one function fields over a finite field with many automorphismsFinite groups with given centralizer of a central involutionNonsolvable signalizer functors on finite groupsAutomorphisms of Cayley graphs on generalised dicyclic groupsUnendliche Gruppen mit einem lokalen System aus endlichen Ree-Gruppen vom Typ \(^ 2G_ 2\)The friendly giantEigenvalues of Cartan matrices of principal 2-blocks with Abelian defect groups.The co-degrees of irreducible charactersEndo-trivial modules for finite groups with Klein-four Sylow 2-subgroups.Brauer's height zero conjecture for principal blocksAbout ambivalent groupsGroups whose elements are not conjugate to their powersFinite groups with few conjugacy classes of subgroupsClassification of finite groups according to their conjugacy class lengthsLarge \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\)Answer to a 1962 question by Zappa on cosets of Sylow subgroupsA characterization of a finite simple Hall-Janko groupExtensions of groups by weighted Steiner loops.\({\mathfrak F}\)-sets and permutation groupsÜber Gruppen, die in ähnlicher Beziehung zu \(M_{24}\) oder \(L_5(2)\) stehen, wie \(Sz\) zu \(He\), und eine Kennzeichnung von \(M_{24}\) und \(L_5(2)\). IA characterization of some groups of characteristic twoFinite groups with Sylow 2-subgroups of type \(A_{16}\)Products of simple groupsA characterization of the sporadic simple group of SuzukiA characterization of \(PSL(2,2^m)\)Doubly transitive groups in which \(O(G_\alpha)\) is transitiveA general characterization of the Janko simple group \(J_2\)A characterization of simple groups \(A_6\) and \(A_7\)Finite groups with a standard component of type Janko-ReeOn finite simple groups \(G\) in which every element of \(\mathcal L(G)\) is of Bender typeCharacterizing Chevalley groups of rank two and characteristic two by their Sylow 2-subgroups. IThe product of two groups, one of which contains a cyclic subgroup of index \(\leq 2\)A characterization of Fischer's sporadic simple group of the order \(2^{41}\cdot 3^{13}\cdot 5^2\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 31\cdot 47\)Finite groups with Sylow 2-subgroups of type \(\Omega(7,q)\), \(q\equiv\pm 3 (\mod B)\)Well-quasi-ordered classes of groupsÜber Gruppen mit 2-Sylow-Durchschnitten vom Rang \(\leq 3\). ISolvable subgroups of finite simple groupsA characterization of the groups \(L_3(2^2)\)Certain multiply transitive setwise stabilizersCharacterization of groups of Janko-Ree type and the Hall-Janko groupFinite groups with a standard component isomorphic to HJ or HJMProducts of finite simple groupsFinite groups with decomposable Sylow 2-subgroupsThe conjugacy of involutions in finite groups with decomposable Sylow 2- subgroupsÜber endliche Gruppen mit einer 2-lokalen Untergruppe, die kein Element der Ordnung 6 enthältProduct of two groups with nilpotent subgroups of index at most 2Produkte endlicher einfacher GruppenA classification of groups of type \(A_n(q)\) for \(n\geq 3\) and \(q=2^k\geq 4\)Groups with dihedral 3-normalizers of order 4k, IGroups with dihedral 3-normalizers of order 4k, IIForbidden subgraphs of power graphsTranslation planes of characteristic two in which all involutions are BaerFinite groups in which a Sylow two-subgroup contains an elementary Abelian subgroup of index 4A 2-local characterization of the Rudvalis simple groupFinite groups with a centralizer of order sixConjugacy in elementary Abelian subgroups of finite groupsSimple modules for groups with Abelian Sylow 2-subgroups are algebraic.Theorem on groups of finite special rankPrimitive Permutationsgruppen mit einem Subkonstituenten vom Grad \(2^f\).Eine Charakterisation von Gruppen Reesschen Typs vermittels biprimärer UntergruppenFinite groups with \(2\)-nilpotent subgroups of even indexOn the determination of Sylow numbersCharacter degrees in blocks and defect groupsA distance-regular graph with the intersection array \(\{8, 7, 5; 1, 1, 4\}\) and its automorphismsOn simple groups with a cyclic maximal 2-Sylow intersectionGroups with S\(_2\)'-subgroups and S\(_3\)'-subgroupsFinite groups with special Sylow 2-subgroupsTransitive permutation groups with a solvable one-point stabilizerFinite groups with standard component of type \(\widehat{\Omega_8^+(2)}\).Abnormal maximal subgroups and solvability of finite groupsThe translation planes of order 16 that admit nonsolvable collineation groupsFinite groups of the form ABAFinite groups admitting an automorphism of prime order fixing an Abelian 2-groupEndliche nicht-auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sindStructure of Ree groupsOn perfect isometries and isotypies in finite groupsFactorizations of the groups of Lie type of Lie rank 1 or 2On free involutions in linear groups and collineation groups of translation planes




This page was built for publication: The characterization of finite groups with abelian Sylow 2-subgroups