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

Flannery, D. L.

ISBN 10: 0821806254 / ISBN 13: 9780821806258

Verlag: Providence, American Math. Soc, 1997

Beschreibung

Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00813 9780821806258 Sprache: Englisch Gewicht in Gramm: 150.

Bestandsnummer des Verkäufers 2484651

Bibliografische Details

• Titel: The finite irreducible linear 2-groups of degree 4. Memoirs of the American Mathematical Society; 613.
• Verlag: Providence, American Math. Soc
• Erscheinungsjahr: 1997
• Sprache: Englisch
• ISBN-10: 0821806254
• ISBN-13: 9780821806258
• Einband: Softcover
• Gewicht: 150 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.