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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 …

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 …

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 …

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 …

Vishik's article you are asking for can be downloaded for free from Math-Net.Ru here.

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").

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 …

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 …

Yes, the classification of groups of order $2^kp$ for $k \leq 8$ and arbitrary primes $p$ is included in the GAP SmallGroups Library.

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 …

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 …

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 …

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 …

The computer algebra system GAP implements the recursion formulas for the numbers of conjugacy classes from Macdonald's paper cited in Nick Gill's answer. This covers the groups ${\rm GL}(n,q)$, ${\rm …

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 …