Register

TIFR-2014-Maths-A-15

• edited by
1,338 views

1 Answer

Voting & Accepting an answer helps improve the community
Answer:
← Previous · TIFR-2014-Maths-A-14Next → · TIFR-2014-Maths-A-16
← Previous in category · TIFR-2014-Maths-A-14Next in category → · TIFR-2014-Maths-A-17
Position:
Show:

Related questions

3 3 votes
1 1 answer
1.6k
1.6k views
Misbah Ghaya asked Dec 17, 2015
1,573 views
TIFR-2014-Maths-A-14
Let $G$ be a group and let $H$ and $K$ be two subgroups of $G$. If both $H$ and $K$ have $12$ elements, which of the following numbers cannot be the cardinality of the se...
1 1 vote
0 0 answers
547
547 views
Misbah Ghaya asked Dec 17, 2015
547 views
TIFR-2014-Maths-B-5
Which of the following groups are isomorphic? $\mathbb{R}$ and $C$ $\mathbb{R}^{*}$ and $C^{*}$ $S_{3}\times \mathbb{Z}/4$ and $S_{4}$ $\mathbb{Z}/2\times \mathbb{Z}/2$ a...
2 2 votes
4 4 answers
3.9k
3.9k views
Misbah Ghaya asked Dec 17, 2015
3,853 views
TIFR-2014-Maths-B-4
Let $H_{1}$, $H_{2}$ be two distinct subgroups of a finite group $G$, each of order $2$. Let $H$ be the smallest subgroup containing $H_{1}$ and $H_{2}$. Then the order o...
1 1 vote
0 0 answers
793
793 views
Misbah Ghaya asked Dec 17, 2015
793 views
TIFR-2014-Maths-B-3
Let $S_{n}$ be the symmetric group of $n$ letters. There exists an onto group homomorphism From $S_{5}$ to $S_{4}$ From $S_{4}$ to $S_{2}$ From $S_{5}$ to $\mathbb{Z}/5$F...