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We survey new results on finite groups of birational transformations of algebraic varieties.

Algebraic Geometry · Mathematics 2021-12-28 Yuri Prokhorov

This paper surveys some results and methods in topological transformation groups.

Algebraic Topology · Mathematics 2009-09-25 Alejandro Adem , James F. Davis

A survey of recent results about profinite groups, and results about infinite and finite groups where the theory of profinite groups plays a leading role.

Group Theory · Mathematics 2007-05-23 Dan Segal

In this paper we first survey some basic results in the cohomology of finite groups, and then discuss recent work on constructing free actions of finite groups on products of spheres.

Algebraic Topology · Mathematics 2007-05-23 Alejandro Adem

Some recent results in supersymmetric grand unified theories are reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Barger , M. S. Berger , P. Ohmann

Various uses of the renormalization group are examined.

High Energy Physics - Theory · Physics 2011-12-20 D. G. C. McKeon

Finite groups with given systems of permuteral and strongly permuteral subgroups are studied. New characterizations of w-supersoluble and supersoluble groups are received.

Group Theory · Mathematics 2013-05-14 A. F. Vasil'ev , V. A. Vasil'ev , T. I. Vasil'eva

We report on recent progress concerning the relationship that exists between the algebraic structure of a finite group and certain features of its class-size prime graph.

Group Theory · Mathematics 2024-10-02 Víctor Sotomayor

This abstract presents (without proofs) some new results on commutativity degree of finite groups.

Group Theory · Mathematics 2010-09-29 Rajat Kanti Nath , Ashish Kumar Das

Computations in the cohomology of finite groups.

Algebraic Topology · Mathematics 2007-12-03 Ian J Leary

This expository article revolves around the question to find short presentations of finite simple groups. This subject is one of the most active research areas of group theory in recent times. We bring together several known results on…

Group Theory · Mathematics 2020-05-19 Yash Arora , Anupam Singh

In this note we survey recent results on automorphisms of affine algebraic varieties, infinitely transitive group actions and flexibility. We present related constructions and examples, and discuss geometric applications and open problems.

Algebraic Geometry · Mathematics 2013-07-18 I. Arzhantsev , H. Flenner , S. Kaliman , F. Kutzschebauch , M. Zaidenberg

We describe a new approach towards the systematic construction of finite groups up to isomorphism. This approach yields a practical algorithm for the construction of finite solvable groups up to isomorphism. We report on a GAP…

Group Theory · Mathematics 2016-07-18 Bettina Eick , Max Horn

We introduce the notion of a transformation digroup and prove that every digroup is isomorphic to a transformation digroup.

Group Theory · Mathematics 2007-05-23 Keqin Liu

The structure of groups for which certain sets of commutator subgroups are finite is investigated, with a particular focus on the relationship between these groups and those with finite derived subgroup.

Group Theory · Mathematics 2025-07-14 Rosa Cascella

This paper gives a systematic construction of certain covers of finite semigroups. These covers will be used in future work on the complexity of finite semigroups.

Group Theory · Mathematics 2019-04-03 John L. Rhodes , Benjamin Steinberg , J. C. Birget

We present a characterization of finite permutation groups which contain a transitive dihedral subgroup.

Combinatorics · Mathematics 2021-01-13 Shu Jiao Song

This article contains a basic introduction to the local study of finite groups, including a brief perspective on the theory of fusion systems and $p$-local finite groups. -- Este art\'iculo contiene una introducci\'on b\'asica al estudio…

Group Theory · Mathematics 2024-11-12 José Cantarero

We suggest a few projects for studying vertex algebras with emphasis on finite group viewpoints.

Rings and Algebras · Mathematics 2019-03-22 Robert L. Griess,

In this review, we summarize recent developments in stochastic evolutionary game dynamics of finite populations.

Populations and Evolution · Quantitative Biology 2008-11-24 Arne Traulsen , Christoph Hauert
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