55

Answers

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10

Are residually finite, perfect groups residually alternating?

2

Cyclotomic fields

2

j-invariant duplication, triplication and quintuplication formulae… how?

3

Generators of class groups

9

Normal subgroup of the identity component of a linear Lie group is normal in the whole group?

3

Inequivalence of group representations preserved under tensor product?

0

Cool problems to impress students with group theory

2

Generators for a certain congruence subgroup of SL(n,Z)

0

Galois groups of CM fields

3

What is the difference between an automorphic form and a modular form?

5

Generalization of Schur’s Lemma

7

finite index subgroup of a fuchsian group

4

Automorphism group of a compact Kahler manifold

6

Lattice in motion group

2

Outer automorphisms of Borel subgroup

4

S-arithmetic subgroup question

0

Reference on generators of subgroups of symplectic groups

4

Skew fields inside quaternion division algebras

9

Property of lattices in Lie groups

24

Can we have many 1-dimensional rep, and very few high dimensional reps in a finite group? (2)

7

Faithful representation of the projective unitary group with the lowest dimension?

4

Proper subgroups of $\rm{SU}(d)$ that act transitively on $\rm{CP}^{d-1}$?

4

Linear groups that are nonlinear over the integers

2

vanishing of spectral term in Arthur-Selberg trace formula for GL(2)?

1

holomorphic automorphisms of universal cover of configuration spaces

4

Analytic function avoiding elements of the modular group

12

Wedderburn’s theorem for $\mathbb{Q}G$

3

Learning through guided discovery

15

Why all irreducible representations of compact groups are finite-dimensional ? [EDIT: Subtleties: AC,etc]

5

On the restriction of cusp. irr. representation and period.