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The Santa Cruz Conference on Finite Groups / [electronic resource] [edited by Bruce Cooperstein and Geoffrey Mason].

By: Contributor(s): Material type: TextTextSeries: Proceedings of symposia in pure mathematics ; v. 37Publication details: Providence, R.I. : American Mathematical Society, 1980.Description: 1 online resource (xviii, 634 p. : ill.)ISBN:
  • 9780821893265 (online)
Subject(s): Additional physical formats: Santa Cruz Conference on Finite Groups /DDC classification:
  • 512/.2 19
LOC classification:
  • QA171 .S26 1979
Online resources:
Partial contents:
An outline of the classification of finite simple groups / Daniel Gorenstein -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604552 Groups of characteristic $2$-type / Michael Aschbacher -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604553 Aschbacher blocks / Richard Foote -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604554 Some results on standard blocks / Ronald Solomon -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604555 Signalizer functors in groups of characteristic $2$ type / Richard Lyons -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604556 The $B$-conjecture: $2$-components in finite simple groups / John H. Walter -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604557 The maximal $2$-component approach to the $B(G)$ conjecture / Ronald Solomon -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604558 Finite groups having an involution centralizer with a $2$-component of dihedral type / Morton E. Harris -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604559 On Chevalley groups over fields of odd order, the unbalanced group conjecture and the $B(G)$-conjecture / Morton E. Harris -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604560 Remarks on certain standard component problems and the unbalanced group conjecture / Kensaku Gomi -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604561 Odd standard components / Robert Gilman -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604562 Standard subgroups of Chevalley type of rank $2$ and characteristic $2$ / Izumi Miyamoto -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604563 Standard subgroups of type $G_{2}(3)$ / Hiromichi Yamada -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604564 Open standard form problems / Larry Finkelstein -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604565 Groups generated by a conjugacy class of involutions / F. Timmesfeld -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604566 The classification of finite groups with large extraspecial $2$-subgroups / Stephen D. Smith -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604567 Some characterization theorems / Sergei Syskin, A. -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604568 On finite groups whose Sylow $2$-subgroups are contained in unique maximal subgroups / Bernd Stellmacher -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604569 Groups having a self-centralizing elementary abelian subgroup of order $16$ / G. Stroth -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604570 $p$-local subgroups / George Glauberman -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604571 Local analysis in the odd order paper / George Glauberman -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/9889 Finite groups with a split $BN$-pair of rank one / Michio Suzuki -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604572 Finite groups of low $2$-rank, revisited / Koichiro Harada -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604573 Quasithin groups / Geoffrey Mason -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604574 Zusammengesetzte Gruppen: H�olders Programm heute / Helmut Wielandt -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604575 Some consequences of the classification of finite simple groups / Walter Feit -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604576 Graphs, singularities, and finite groups / John McKay -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604577 Works on finite group theory by some Chinese mathematicians / Hsio Fu Tuan -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604578 The prime graph components of finite groups / J. S. Williams -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604579 $\pi $-solvability and nilpotent Hall subgroups / Zvi Arad and David Chillag -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604580 On maximal subgroups with a nilpotent subgroup of index $2$ / Zvi Arad, Marcel Herzog and Ahiezer Shaki -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604581 Automorphisms of nilpotent groups and supersolvable orders / Anthony Hughes -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604582 A short survey of Fitting classes / A. R. Camina -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604583 Transfer theorems / Tomoyuki Yoshida -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604584 Problem areas in infinite group theory for finite group theorists / Gilbert Baumslag -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604585 Classification theorems for torsion-free groups / L. G. Kov�acs -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604586 Properties of the known simple groups / Gary M. Seitz -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604587 The root groups of a maximal torus / Gary M. Seitz -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604588 Geometry of long root subgroups in groups of Lie type / B. Cooperstein -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604589 $S$- and $F$-pairs for groups of Lie type in characteristic two / B. Cooperstein -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604590 Geometric questions arising in the study of unipotent elements / T. A. Springer -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604591 Kleinian singularities and unipotent elements / Robert Steinberg -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604592 The construction of $J_{4}$ / Simon Norton -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604593 Schur multipliers of the known finite simple groups. II / Robert L. Griess, Jr. -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604594 $2$-local geometries for some sporadic groups / M. A. Ronan and S. D. Smith -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604595 Problems concerning characters of finite groups of Lie type / Charles W. Curtis -- http://www.ams.org/pspum/037 http://dx.doi.org/10.1090/pspum/037/604596
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Includes bibliographies.

An outline of the classification of finite simple groups / Daniel Gorenstein -- Groups of characteristic $2$-type / Michael Aschbacher -- Aschbacher blocks / Richard Foote -- Some results on standard blocks / Ronald Solomon -- Signalizer functors in groups of characteristic $2$ type / Richard Lyons -- The $B$-conjecture: $2$-components in finite simple groups / John H. Walter -- The maximal $2$-component approach to the $B(G)$ conjecture / Ronald Solomon -- Finite groups having an involution centralizer with a $2$-component of dihedral type / Morton E. Harris -- On Chevalley groups over fields of odd order, the unbalanced group conjecture and the $B(G)$-conjecture / Morton E. Harris -- Remarks on certain standard component problems and the unbalanced group conjecture / Kensaku Gomi -- Odd standard components / Robert Gilman -- Standard subgroups of Chevalley type of rank $2$ and characteristic $2$ / Izumi Miyamoto -- Standard subgroups of type $G_{2}(3)$ / Hiromichi Yamada -- Open standard form problems / Larry Finkelstein -- Groups generated by a conjugacy class of involutions / F. Timmesfeld -- The classification of finite groups with large extraspecial $2$-subgroups / Stephen D. Smith -- Some characterization theorems / Sergei Syskin, A. -- On finite groups whose Sylow $2$-subgroups are contained in unique maximal subgroups / Bernd Stellmacher -- Groups having a self-centralizing elementary abelian subgroup of order $16$ / G. Stroth -- $p$-local subgroups / George Glauberman -- Local analysis in the odd order paper / George Glauberman -- Finite groups with a split $BN$-pair of rank one / Michio Suzuki -- Finite groups of low $2$-rank, revisited / Koichiro Harada -- Quasithin groups / Geoffrey Mason -- Zusammengesetzte Gruppen: H�olders Programm heute / Helmut Wielandt -- Some consequences of the classification of finite simple groups / Walter Feit -- Graphs, singularities, and finite groups / John McKay -- Works on finite group theory by some Chinese mathematicians / Hsio Fu Tuan -- The prime graph components of finite groups / J. S. Williams -- $\pi $-solvability and nilpotent Hall subgroups / Zvi Arad and David Chillag -- On maximal subgroups with a nilpotent subgroup of index $2$ / Zvi Arad, Marcel Herzog and Ahiezer Shaki -- Automorphisms of nilpotent groups and supersolvable orders / Anthony Hughes -- A short survey of Fitting classes / A. R. Camina -- Transfer theorems / Tomoyuki Yoshida -- Problem areas in infinite group theory for finite group theorists / Gilbert Baumslag -- Classification theorems for torsion-free groups / L. G. Kov�acs -- Properties of the known simple groups / Gary M. Seitz -- The root groups of a maximal torus / Gary M. Seitz -- Geometry of long root subgroups in groups of Lie type / B. Cooperstein -- $S$- and $F$-pairs for groups of Lie type in characteristic two / B. Cooperstein -- Geometric questions arising in the study of unipotent elements / T. A. Springer -- Kleinian singularities and unipotent elements / Robert Steinberg -- The construction of $J_{4}$ / Simon Norton -- Schur multipliers of the known finite simple groups. II / Robert L. Griess, Jr. -- $2$-local geometries for some sporadic groups / M. A. Ronan and S. D. Smith -- Problems concerning characters of finite groups of Lie type / Charles W. Curtis --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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