Last edited by Kagagis
Saturday, August 8, 2020 | History

4 edition of Black Box Classical Groups (Memoirs of the American Mathematical Society) found in the catalog.

Black Box Classical Groups (Memoirs of the American Mathematical Society)

by William M. Kantor

  • 326 Want to read
  • 16 Currently reading

Published by American Mathematical Society .
Written in English

    Subjects:
  • Groups & group theory,
  • Mathematical theory of computation,
  • Group Theory,
  • Mathematics,
  • Algorithms,
  • Matrix groups,
  • Permutation groups,
  • Science/Mathematics

  • The Physical Object
    FormatPaperback
    Number of Pages168
    ID Numbers
    Open LibraryOL11419933M
    ISBN 100821826190
    ISBN 109780821826195

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Black Box Classical Groups (Memoirs of the American Mathematical Society) by William M. Kantor Download PDF EPUB FB2

If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on the geometry of the classical groups rather than on difficult group-theoretic background.

Get this from a library. Black box classical groups. [W M Kantor; Ákos Seress] -- If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism. The proof relies on. If a black box simple group is known to be isomorphic to a classical group over a field of known characteristic, a Las Vegas algorithm is used to produce an explicit isomorphism.

We now develop these ideas to obtain such algorithms for classical groups given as black-box groups. Let G ˜ ≤ GL d (q) be a classical group in its natural representation, and let G = 〈 X 〉 be isomorphic to a central quotient of G ˜, where X is a given generating by: 8.

Our algorithms are developed in the black-box group model (see [HCGT, Section ]); that is, they do not require specific characteristics of the representations in which the input groups are given.

The elements of a black-box group are represented, not necessarily uniquely, as bit strings of uniform length. Steinberg presentations of black box classical groups in small characteristics. Black Box is an Italian house music group popular in the late s and early s. The members of the group included a trio made up of a club DJ (Daniele Davoli), a classically trained clarinet teacher (Valerio Semplici), and a keyboard and electronic music "wiz" (Mirko Limoni).

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Each box is crafted around a newly released adult or YA title, sending a brand-new book, a quote card, and charmingly wrapped gifts marked with different page numbers. A blac k b ox group X is a black box (or an oracle, or a device, or an algorithm) op erating with strings of b ounded length which encrypt (not necessarily in a unique wa y) elements of some.

BibTeX @MISC{Kantor_blackbox, author = {William M. Kantor and Ákos Seress}, title = {Black box classical groups}, year = {}}. In science, computing, and engineering, a black box is a device, system or object which can be viewed in terms of its inputs and outputs (or transfer characteristics), without any knowledge of its internal implementation is "opaque" (black).

Almost anything might be referred to as a black box: a transistor, an engine, an algorithm, the human brain, an institution or government. Dreamland is the debut studio album by the Italian music group Black Box. It was released on May 8, through RCA Records, and was preceded in by the international hit single "Ride on Time".

The album was certified Gold in both the United States and the United Kingdom. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We present a polynomial time Monte-Carlo algorithm for finite simple black box classical groups of odd characteristic which constructs all root SL2(q)-subgroups associated with the nodes of the extended Dynkin diagram of the corresponding algebraic group.

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Only 2 left in stock - order soon. For more on practicing, check out Thomas’ full lesson here and take a look at his wonderful ebook, In the Black Box, Techniques of the Classical Guitar. In this paper, we complete the black box recognition of a nite group X where X=O p(X) is a simple classical group of odd characteristic pvia the ap-proach introduced in [46].

By the availability of a black box oracle for the construction of a centraliser of an involution in black box groups [1,10,13], a.Indian investigators on Sunday began examining the black box of a Boeing that overshot a runway on its second attempt, killing 18 people in the country's worst aviation accident in a decade.The research described in this note aims at solving the constructive membership problem for the class of quasisimple classical groups.

Our algorithms are developed in the black-box group model; that is, they do not require specific characteristics of the representations in which the input groups are given. The elements of a black-box group are represented, not necessarily uniquely, as bit.