The Finite Irreducible Linear 2-groups of Degree 4 - Memoirs of the American Mathematical Society (Paperback)
  • The Finite Irreducible Linear 2-groups of Degree 4 - Memoirs of the American Mathematical Society (Paperback)
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The Finite Irreducible Linear 2-groups of Degree 4 - Memoirs of the American Mathematical Society (Paperback)

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Paperback 77 Pages / Published: 30/09/1997
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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.

Publisher: American Mathematical Society
ISBN: 9780821806258
Number of pages: 77
Weight: 198 g

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