Nicky Hekster

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I am an ex assistant-professor of mathematics at the Univ. of Amsterdam, with specialization in group theory and representation theory of groups. I work for IBM, though not in research.

	2,677 reputation	bio	website	linkedin.com/profile/…	visits	member for	2 years, 1 month
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Can a infinite group be a finite union of proper subgroups?

Is there a way to classify groups up to isomorphism?

Proving that the characters of an infinite Abelian group is a basis for the space of functions from the group to $\mathbb{C}$

Index of a maximal subgroup in a finite group

Why is the number of subgroups of a finite group G of order a fixed p-power congruent to 1 modulo p?

When does every group with order divisible by $n$ have a subgroup of order $n$?

Group Multiplication Table

Are some numbers more likely to count conjugacy classes than others?

Finding groups $G$ such that $G \cong \mathscr{S}(G)$

Proving that $A_n$ is the only proper nontrivial normal subgroup of $S_n$, $n\geq 5$

Encyclopedia of Groups

Mathematical journal for an undergraduate

Finite Groups with exactly $n$ conjugacy classes $(n=2,3,…)$

Given a group $G$, can we determine the $n$ for which $G$ is a subgroup of $S_{n}$?

How to prove that a group with some properties is abelian?

There are at most two prime numbers dividing $|G|$

What is the group generated by the conjugacy class containing $(12\ldots n)$ in $S_n$?

Condition for abelian subgroup to be normal

Group of order 15 is abelian

Applications of Character Theory

If in a group G an element $x$ has the property such that $x^2 = e$, does that entail $x = e$?

Is the set of positive real numbers a ring under these operations?

Is there an idea of “primeless isomorphism” studied somewhere in finite group theory?

Subgroups of finite index in divisible group

Prove $H$ is normal subgroup

$\mathbb{Z}$ has no torsion?

Can I prove that this polynomial is irreducible?

The normal closure of $H$ in $G.$

Exponent and group quotient