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Black box group

In computational group theory, a black box group (black-box group) is a group G whose elements are encoded by bit strings of length N, and group… Expand
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Papers overview

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2018
2018
Abstract Given a black box group Y encrypting PSL 2 ( F ) over an unknown field F of unknown odd characteristic p and a global… Expand
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2014
2014
We introduce a new approach in black box group theory which deals with black box group problems in the category of black boxes… Expand
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2013
2013
While efficient algorithms are known for solving many important problems related to groups, no efficient algorithm is known for… Expand
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2008
2008
We present an algorithm which, for any given black box group G isomorphic to Sp(d,q), constructs explicit inverse isomorphisms… Expand
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2007
2007
We propose a uniform approach for recognizing all black box groups of Lie type which is based on the analysis of the structure of… Expand
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2007
2007
Abstract.In a connected group of finite Morley rank, if the Sylow 2-subgroups are finite then they are trivial. The proof… Expand
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2003
2003
In this paper, the author presents a new algorithm to recognise, constructively, when a given black-box group is a homomorphic… Expand
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2000
2000
The well-known Goldbach Conjecture (GC) states that any sufficiently large even number can be represented as a sum of two odd… Expand
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1995
1995
A Monte Carlo algorithm is presented for constructing the natural representation of a group G that is known to be isomorphic to… Expand
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1992
1992
This paper considers “black box groups,” i.e., finite groups whose elements are uniquely encoded by strings of uniform length… Expand
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