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The Achievements of S. G. Dani

Description: S. G. Dani is an Indian mathematician who has made significant contributions to the field of mathematics. This quiz will test your knowledge about the achievements of S. G. Dani.
Number of Questions: 15
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Tags: indian mathematics modern indian mathematicians s. g. dani
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In which year did S. G. Dani receive the Shanti Swarup Bhatnagar Prize for Science and Technology?

  1. 1983

  2. 1984

  3. 1985

  4. 1986

Show answer
Correct Option: C
Explanation:

S. G. Dani received the Shanti Swarup Bhatnagar Prize for Science and Technology in 1985 for his work in mathematics.

Which of the following is not an area of mathematics in which S. G. Dani has made significant contributions?

  1. Algebraic groups

  2. Number theory

  3. Topology

  4. Analysis

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Correct Option: D
Explanation:

S. G. Dani has made significant contributions to the areas of algebraic groups, number theory, and topology, but not to analysis.

What is the name of the theorem that S. G. Dani proved in 1980?

  1. The Dani subgroup theorem

  2. The Margulis lemma

  3. The Borel-Serre theorem

  4. The Mostow rigidity theorem

Show answer
Correct Option: A
Explanation:

The Dani subgroup theorem is a result in geometric group theory that was proved by S. G. Dani in 1980.

Which of the following is a result that S. G. Dani obtained in collaboration with G. A. Margulis?

  1. The Margulis lemma

  2. The Borel-Serre theorem

  3. The Mostow rigidity theorem

  4. The Tits alternative

Show answer
Correct Option: A
Explanation:

The Margulis lemma is a result in geometric group theory that was obtained by S. G. Dani and G. A. Margulis in collaboration.

What is the name of the book that S. G. Dani co-authored with G. A. Margulis?

  1. Lie groups and representations

  2. Discrete subgroups of Lie groups

  3. Ergodic theory and dynamical systems

  4. Number theory and algebraic geometry

Show answer
Correct Option: B
Explanation:

S. G. Dani co-authored the book "Discrete subgroups of Lie groups" with G. A. Margulis.

Which of the following is a result that S. G. Dani obtained in collaboration with J. Tits?

  1. The Tits alternative

  2. The Borel-Serre theorem

  3. The Mostow rigidity theorem

  4. The Margulis lemma

Show answer
Correct Option: A
Explanation:

The Tits alternative is a result in group theory that was obtained by S. G. Dani and J. Tits in collaboration.

What is the name of the theorem that S. G. Dani proved in 1982?

  1. The Borel-Serre theorem

  2. The Mostow rigidity theorem

  3. The Tits alternative

  4. The Dani subgroup theorem

Show answer
Correct Option: A
Explanation:

The Borel-Serre theorem is a result in algebraic groups that was proved by S. G. Dani in 1982.

Which of the following is a result that S. G. Dani obtained in collaboration with A. Lubotzky?

  1. The Mostow rigidity theorem

  2. The Tits alternative

  3. The Dani subgroup theorem

  4. The Margulis lemma

Show answer
Correct Option: A
Explanation:

The Mostow rigidity theorem is a result in geometric group theory that was obtained by S. G. Dani and A. Lubotzky in collaboration.

What is the name of the theorem that S. G. Dani proved in 1983?

  1. The Tits alternative

  2. The Dani subgroup theorem

  3. The Borel-Serre theorem

  4. The Mostow rigidity theorem

Show answer
Correct Option: A
Explanation:

The Tits alternative is a result in group theory that was proved by S. G. Dani in 1983.

Which of the following is a result that S. G. Dani obtained in collaboration with G. Prasad?

  1. The Dani subgroup theorem

  2. The Margulis lemma

  3. The Borel-Serre theorem

  4. The Mostow rigidity theorem

Show answer
Correct Option: A
Explanation:

The Dani subgroup theorem is a result in geometric group theory that was obtained by S. G. Dani and G. Prasad in collaboration.

What is the name of the theorem that S. G. Dani proved in 1984?

  1. The Borel-Serre theorem

  2. The Mostow rigidity theorem

  3. The Tits alternative

  4. The Dani subgroup theorem

Show answer
Correct Option: A
Explanation:

The Borel-Serre theorem is a result in algebraic groups that was proved by S. G. Dani in 1984.

Which of the following is a result that S. G. Dani obtained in collaboration with A. Raghunathan?

  1. The Mostow rigidity theorem

  2. The Tits alternative

  3. The Dani subgroup theorem

  4. The Margulis lemma

Show answer
Correct Option: A
Explanation:

The Mostow rigidity theorem is a result in geometric group theory that was obtained by S. G. Dani and A. Raghunathan in collaboration.

What is the name of the theorem that S. G. Dani proved in 1985?

  1. The Tits alternative

  2. The Dani subgroup theorem

  3. The Borel-Serre theorem

  4. The Mostow rigidity theorem

Show answer
Correct Option: A
Explanation:

The Tits alternative is a result in group theory that was proved by S. G. Dani in 1985.

Which of the following is a result that S. G. Dani obtained in collaboration with V. S. Varadarajan?

  1. The Dani subgroup theorem

  2. The Margulis lemma

  3. The Borel-Serre theorem

  4. The Mostow rigidity theorem

Show answer
Correct Option: A
Explanation:

The Dani subgroup theorem is a result in geometric group theory that was obtained by S. G. Dani and V. S. Varadarajan in collaboration.

What is the name of the theorem that S. G. Dani proved in 1986?

  1. The Borel-Serre theorem

  2. The Mostow rigidity theorem

  3. The Tits alternative

  4. The Dani subgroup theorem

Show answer
Correct Option: A
Explanation:

The Borel-Serre theorem is a result in algebraic groups that was proved by S. G. Dani in 1986.

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