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The Santa Cruz Conference on Finite Groups : proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at the University of California, Santa Cruz, California, June 25-July 20, 1979 / [edited by Bruce Cooperstein, Geoffrey Mason].
- Format:
- Book
- Conference/Event
- Conference Name:
- Santa Cruz Conference on Finite Groups (1979 : University of California, Santa Cruz), issuing body.
- Santa Cruz Conference on Finite Groups
- Series:
- Proceedings of symposia in pure mathematics ; volume 37.
- Proceedings of symposia in pure mathematics ; volume 37
- Language:
- English
- Subjects (All):
- Finite groups--Congresses.
- Finite groups.
- Physical Description:
- 1 online resource (653 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1980.
- Language Note:
- English
- Contents:
- ""Table of Contents""; ""Preface""; ""List of Participants""; ""Part I: Classification theory of finite simple groups""; ""An outline of the classification of finite simple groups""; ""Groups of characteristic 2-type""; ""Aschbacher blocks""; ""Some results on standard blocks""; ""Signalizer functors in groups of characteristic 2 type""; ""The B-conjecture: 2-components in finite simple groups""; ""The maximal 2-component approach to the B(G) conjecture""; ""Finite groups having an involution centralizer with a 2-component of dihedral type""
- ""On Chevalley groups over fields of odd order, the unbalanced group conjecture and the B(G)-conjecture""""Remarks on certain standard component problems and the unbalanced group conjecture""; ""Odd standard components""; ""Standard subgroups of Chevalley type of rank 2 and characteristic 2""; ""Standard subgroups of type G[sub(2)](3)""; ""Open standard form problems""; ""Groups generated by a conjugacy class of involutions""; ""The classification of finite groups with large extraspecial 2-subgroups""; ""Some characterization theorems""
- ""Works on finite group theory by some Chinese mathematicians""""The prime graph components of finite groups""; ""π-solvability and nilpotent Hall subgroups""; ""On maximal subgroups with a nilpotent subgroup of index 2""; ""Automorphisms of nilpotent groups and supersolvable orders""; ""A short survey of Fitting classes""; ""Transfer theorems""; ""Problem areas in infinite group theory for finite group theorists""; ""Classification theorems for torsionfree groups""; ""Part III: Properties of the known groups""; ""Properties of the known simple groups""; ""The root groups of a maximal torus""
- ""Geometry of long root subgroups in groups of Lie type""""S and F-pairs for groups of Lie type in characteristic two""; ""Geometric questions arising in the study of unipotent elements""; ""Kleinian singularities and unipotent elements""; ""The construction of J[sub(4)]""; ""Schur multipliers of the known finite simple groups. II""; ""2-local geometries for some sporadic groups""; ""Part IV: Representation theory of groups of Lie-type""; ""Problems concerning characters of finite groups of Lie type""
- ""The relation between characteristic 0 representations and characteristic p representations of finite groups of Lie type""
- Notes:
- Prepared by the American Mathematical Society with partial support from National Science Foundation grant MCS 78-24165.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-9326-2
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