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Search options not deleted user 28104

This tag is used if a reference is needed in a paper or textbook on a specific result.

73 votes
17 answers
9k views

Mathematical research published in the form of poems

The article Friedrich Wille: Galerkins Lösungsnäherungen bei monotonen Abbildungen, Math. Z. 127 (1972), no. 1, 10-16 is written in the form of a lengthy poem, in a style similar to that of the work …
52 votes
3 answers
5k views

Mathematical research in North Korea -- reference request

Question: Where can one find information on which areas of mathematics are represented at which of the more than 20 universities in the Democratic People's Republic of Korea (DPRK), and on which mathe …
Stefan Kohl's user avatar
  • 19.6k
21 votes
1 answer
562 views

Partitions of ${\rm Sym}(\mathbb{N})$ induced by convergent, but not absolutely convergent s...

Let $(a_n) \subset \mathbb{R}$ be a sequence such that the series $\sum_{n=1}^\infty a_n$ converges, but does not converge absolutely. Then there is a partition of the symmetric group ${\rm Sym}(\math …
Stefan Kohl's user avatar
  • 19.6k
14 votes
2 answers
876 views

Sets of evenly distributed points in the Euclidean plane

Is there a set $P \subset \mathbb{R}^2$ of points in the Euclidean plane whose intersection with every convex subset of $\mathbb{R}^2$ of area $1$ is nonempty but finite? If the answer is yes, can $P …
Stefan Kohl's user avatar
  • 19.6k
8 votes

Explicit free subgroup in Thompson's group $V$

If $\kappa$, $\lambda$, $\mu$ and $\nu$ are generators of Thompson's Group $V$ which satisfy the defining relations given on Page 50 in Graham Higman, Finitely presented infinite simple groups, Not …
Stefan Kohl's user avatar
  • 19.6k
7 votes
2 answers
403 views

Catalogue of groups with short finite presentations

For various types of groups, there exist catalogues of those groups of the particular type which are "small" in a certain sense. — For example: The GAP Small Groups Library catalogizes groups of smal …
Stefan Kohl's user avatar
  • 19.6k
3 votes
0 answers
217 views

References on a certain generalization of Dedekind groups

Recall that a group is called a Dedekind group if all of its subgroups are normal. Also recall that a weaker property of a subgroup than normality is that of being a TI-subgroup: a subgroup $H$ of a g …
Stefan Kohl's user avatar
  • 19.6k
3 votes

Where can I find the classification of groups of order 16p?

Yes, the classification of groups of order $2^kp$ for $k \leq 8$ and arbitrary primes $p$ is included in the GAP SmallGroups Library.
Stefan Kohl's user avatar
  • 19.6k
3 votes

Is the conjugacy problem solvable in $Out(F_n)$?

The paper D.G. Kharamtsov: Solvability of the conjugacy problem for finite subgroups in automorphism groups of free groups, Algebra and Logic 34(5), 1995, 311-337 solves the conjugacy problem for fi …
Stefan Kohl's user avatar
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3 votes

Where was it first stated that there are no 4-transitive finite groups other than symmetric,...

On page 218 of John D. Dixon, Brian Mortimer: Permutation Groups, Springer GTM 163, 1996 it is stated: It is a consequence of the classification of finite simple groups that a finite permutat …
Stefan Kohl's user avatar
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2 votes

An English version Borok's work on finite-infinite systems of ordinary differential equations

As far as I can tell, the titles of the two journals you refer to are Izvestiya Vysshikh Uchebnykh Zavedenii, Matematika and Soviet Mathematics (the latter without appended "Doklady").
Stefan Kohl's user avatar
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2 votes
0 answers
126 views

Uncountable chains of countable simple groups -- reference request

Question: Which examples of uncountable ascending / descending chains of countable simple groups have been described in the literature so far? Remark: The question is not whether such chains do exi …
Stefan Kohl's user avatar
  • 19.6k
1 vote

An electronic copy of Vishik's work on $p$-adic $L$-functions for modular forms

Vishik's article you are asking for can be downloaded for free from Math-Net.Ru here.
Stefan Kohl's user avatar
  • 19.6k
1 vote

Minimum sum among fixed length factors of a number

Given integers $n$ and $k$, asking for a `formula' for the smallest sum of $k$ integers whose product is $n$ is certainly not appropriate. Rather one should ask for an algorithm. -- And the main task …
Stefan Kohl's user avatar
  • 19.6k
1 vote

Reference for the set of orders of its elements

A standard reference for this type of results is Bertram Huppert: Endliche Gruppen I, Band 134 der Grundlehren der mathematischen Wissenschaften, 1967, Springer-Verlag. However I don't have that boo …
Stefan Kohl's user avatar
  • 19.6k

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