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… (More)

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2014

2014

- Alexandre V. Borovik, Sükrü Yalçinkaya
- ICMS
- 2014

We introduce a new approach in black box group theory which deals with black box group problems in the category of black boxes… (More)

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2014

2014

Article history: Received 13 September 2013 Available online 8 September 2014 Communicated by Charles Leedham-Green MSC: primary… (More)

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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… (More)

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2007

2007

- Şükrü Yalçınkaya
- 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… (More)

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2006

2006

We present an algorithm that constructively recognises when a given black box group is a nontrivial homomorphic image of the… (More)

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2004

2004

We present a new algorithm to recognise, constructively, when a given black box group is a homomorphic image of the unitary group… (More)

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2002

2002

If a black box group is known to be isomorphic to an exceptional simple group of Lie type of (twisted) rank > 1, other than any… (More)

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Review

2001

Review

2001

We discuss basic structural properties of finite black box groups. A special emphasis is made on the use of centralisers of… (More)

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1995

1995

- Gene Cooperman, Larry Finkelstein, Steve Linton
- Groups and Computation
- 1995

A Monte Carlo algorithm is presented for constructing the natural representation of a group G that is known to be isomorphic to… (More)

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Highly Cited

1984

Highly Cited

1984

- László Babai, Endre Szemerédi
- FOCS
- 1984

Class ica l r e s u l t s t e l l us t h a t membership i n a subgroup, order (even whether t h e order i s equal t o ABSTRACT l… (More)

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