The finite irreducible linear 2-groups of degree 4 D.L. Flannery. Memoirs of the American Mathematical Society 613.

Flannery, Dane Laurence:

ISBN 10: 0821806254 / ISBN 13: 9780821806258

Verlag: Providence, American Mathematical Society, 1997

Beschreibung

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 FLA 9780821806258 Sprache: Englisch Gewicht in Gramm: 550.

Bestandsnummer des Verkäufers 2502535

Bibliografische Details

• Titel: The finite irreducible linear 2-groups of degree 4 D.L. Flannery. Memoirs of the American Mathematical Society 613.
• Verlag: Providence, American Mathematical Society
• Erscheinungsjahr: 1997
• Sprache: Englisch
• ISBN-10: 0821806254
• ISBN-13: 9780821806258
• Einband: Softcover
• Gewicht: 550 Gramm
• Verkäuferkataloge:
  • SA MATHEMATIK

Über diesen Titel

Inhaltsangabe

This memoir contains a complete classification of the finite irreducible 2-subgroups of $GL(4, {\mathbb C})$. Specifically, the author provides a parametrized list of representatives for the conjugacy classes of such groups, where each representative is defined by a generating set of monomial matrices. The problem is treated by a variety of techniques, including elementary character theory, a method for describing Hasse diagrams of submodule lattices, and calculation of 2-cohomology by means of the Lyndon-Hochschild-Serre spectral sequence. Related questions concerning isomorphism between the listed groups, and Schur indices of their defining characters, are also considered.It's features include: a complete classification of a class of $p$-groups; a first step towards extending presently available databases for use in proposed 'soluble quotient algorithms'; and, groups presented explicitly; may be used to test conjectures or to serve generally as a resource in group-theoretic computations.

Reseña del editor

This memoir contains a complete classification of the finite irreducible 2-subgroups of GL(4,C). Specifically, the author provides a parametrized list of representatives for the conjugacy classes of such groups, where each representative is defined by generating set of monomial matrices. The problem is treated by a variety of techniques, including elementary character theory, a method for describing Hasse diagrams of submodule lattices, and calculation of 2-cohomology by means of the Lyndon-Hochschild-Serre spectral sequence. Related questions concerning isomorphism between the listed groups, and Schur indices of their defining characters, are also considered.