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.

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Subrings of finite index and units

group-theory ring-theory finite-groups asked Dec 14 '11 at 11:52

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9 votes

Generalization of index 2 subgroups are normal

abstract-algebra group-theory finite-groups symmetric-groups asked Apr 14 '11 at 21:59

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9 votes

Applications of the fact that a group is never the union of two of its proper subgroups

group-theory abelian-groups symmetric-groups asked May 3 '11 at 15:34

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6 votes

Products of sets in a group

group-theory finite-groups asked Nov 16 '11 at 22:57

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5 votes

First publication of Pierre Deligne

group-theory finite-groups asked Apr 19 '12 at 20:36

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Top Answers

Can a infinite group be a finite union of proper subgroups?

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Index of a maximal subgroup in a finite group

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

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Is there a way to classify groups up to isomorphism?

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

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

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Group Multiplication Table

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

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

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

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

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Mathematical journal for an undergraduate

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Encyclopedia of Groups

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

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

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