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Journal of the London Mathematical Society, ISSN 0024-6107, 06/2020, Volume 101, Issue 3, pp. 1008 - 1040
Using Hausdorff dimension, we show that finitely generated closed subgroups H of infinite index in a finitely generated pro‐p group G of positive rank gradient... 
20F40 (primary) | 20E18 | 20E07
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 04/2020, Volume 101, Issue 2, pp. 556 - 588
We determine the factorial growth rate of the number of finite‐index subgroups of right‐angled Artin groups as a function of the index. This turns out to... 
22E40 (secondary) | 20E07 | 20F55 (primary) | MATHEMATICS | NUMBER | INDEPENDENT SETS | Group Theory | Mathematics
Journal Article
Communications in Algebra, ISSN 0092-7872, 03/2019, Volume 47, Issue 3, pp. 1043 - 1056
Marius Tărnăuceanu described the finite groups G having cyclic subgroups. We describe the finite groups G having cyclic subgroups for and 5. 
finite group theory | 20D99; 20E07; 20E34 | structure of finite groups | Cyclic subgroups | MATHEMATICS | Subgroups
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 07/2015, Volume 2015, Issue 704, pp. 55 - 83
We discuss various types of Tits alternative for subgroups of graph products of groups, and prove that, under some natural conditions, a graph product of... 
MATHEMATICS | SUBGROUPS | COXETER GROUPS
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 04/2019, Volume 99, Issue 2, pp. 203 - 211
Let $T$ be a finite simple group of Lie type in characteristic $p$ , and let $S$ be a Sylow subgroup of $T$ with maximal order. It is well known that $S$ is a... 
2010 Mathematics subject classification | 20E32 | primary 20D08 | secondary 20E07 | MATHEMATICS | simple group | Lie rank | Sylow subgroup | ORDERS
Journal Article
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ISSN 1073-7928, 05/2019, Volume 2019, Issue 9, pp. 2763 - 2799
Introduced by Gromov in the nineties, the systolic growth of a Lie group gives the smallest possible covolume of a lattice with a given systole. In a simply... 
MATHEMATICS | POLYNOMIAL-GROWTH | Mathematics
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 2/2019, Volume 291, Issue 1, pp. 555 - 568
We prove that every acylindrically hyperbolic group that has no non-trivial finite normal subgroup satisfies a strong ping pong property, the $$P_{naive}$$ P... 
20F65 | delta $$ δ -hyperbolic spaces | Free subgroups | Ping-pong lemma | Mathematics, general | 20E07 | Mathematics | C^$$ C ∗ -algebras | 46L35 | Property $$P_{naive}$$ P naive | Acylindrically hyperbolic groups
Journal Article
Geometriae Dedicata, ISSN 0046-5755, 2/2017, Volume 186, Issue 1, pp. 39 - 74
Let $$\mathcal {X}_S$$ X S denote the class of spaces homeomorphic to two closed orientable surfaces of genus greater than one identified to each other along... 
Geometry | 57M60 | 57M07 | Amalgamated products | 20E07 | Mathematics | Abstract commensurability | Surface groups | Quasi-isometry classification | MATHEMATICS | COVERINGS | MANIFOLDS
Journal Article
Mathematische Annalen, ISSN 0025-5831, 4/2018, Volume 370, Issue 3, pp. 1909 - 1940
We study the intersection of finitely generated subgroups of free groups by utilizing the method of linear programming. We prove that if $$H_1$$ H1 is a... 
20F65 | Primary 20E05 | Mathematics, general | 20E07 | Secondary 68Q25 | 90C90 | Mathematics | TOPOLOGY | MATHEMATICS | COMPUTATIONAL-COMPLEXITY | HANNA-NEUMANN CONJECTURE | FREE-PRODUCTS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 12/2018, Volume 290, Issue 3, pp. 909 - 935
The pro-isomorphic zeta function $$\zeta ^\wedge _\Gamma (s)$$ ζΓ∧(s) of a finitely generated nilpotent group $$\Gamma $$ Γ is a Dirichlet generating function... 
Pro-isomorphic zeta function | Secondary 20E07 | 17B45 | 17B40 | Nilpotent group | Primary 11M41 | 20F18 | Mathematics, general | Mathematics | 20F69 | Local functional equation | MATHEMATICS | EQUATIONS | SUBGROUPS | Family
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 04/2018, Volume 68, Issue 2, pp. 353 - 360
We show that given a finitely generated LERF group with positive rank gradient, and finitely generated subgroups , ≤ of infinite index, one can find a finite... 
rank gradient | 60B15 | products of subgroups | 20F65 | 43A05 | Olshanskii’s theorem | 20E07 | 20E18 | 20E06 | 20F05 | 58E40 | 20E26 | 20F69 | group actions | Olshanskii's theorem | MATHEMATICS | COST | EXTENSIONS | PRODUCTS | SUBGROUPS
Journal Article
Communications in Algebra, ISSN 0092-7872, 08/2017, Volume 45, Issue 8, pp. 3365 - 3376
For a finite group G, we consider the zeta function , where H runs over the subgroups of G. First we give simple examples of abelian p-group G and non-abelian... 
zeta functions of finite groups | Enumerating subgroups of abelian p-groups | local densities of square matrices | 20E07 (Primary) | enumerating subgroups of finite groups | MATHEMATICS | ABELIAN GROUP | Isomorphism | Subgroups | Group theory
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 2/2016, Volume 195, Issue 1, pp. 219 - 234
We describe inertial endomorphisms of an abelian group $$A$$ A , that is endomorphisms $$\varphi $$ φ with the property $$|(\varphi (X)+X)/X|<\infty $$ | ( φ (... 
Finitary automorphism | Secondary 20E07 | Locally finite group | Primary 20K30 | Inert subgroup | Mathematics, general | Mathematics | Power endomorphism | 20E36 | 20F24 | Inertial groups | MATHEMATICS | MATHEMATICS, APPLIED | SUBGROUPS
Journal Article
Duke Mathematical Journal, ISSN 0012-7094, 02/2012, Volume 161, Issue 3, pp. 431 - 481
In this article, we prove the following conjecture by Lubotzky. Let G = G(0)(K), where K is a local field of characteristic p >= 5 and where G(0) is a simply... 
MATHEMATICS | SUBGROUP GROWTH | 22E40 | 20E07
Journal Article
by Yu, Jun
Geometriae Dedicata, ISSN 0046-5755, 12/2016, Volume 185, Issue 1, pp. 205 - 269
Journal Article
by Yu, Jun and Yu, Jun
Geometriae Dedicata, ISSN 0046-5755, 12/2013, Volume 167, Issue 1, pp. 245 - 293
We classify elementary abelian 2-subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian $$p$$... 
Geometry | 22C05 | Translation subgroup | Elementary abelian 2-group | Automizer group | Symplectic metric space | 20E07 | Mathematics | Involution type | 20E45 | MATHEMATICS
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 10/2014, Volume 175, Issue 2, pp. 175 - 185
A subgroup $$H$$ H of a group $$G$$ G is said to be normal sensitive in $$G$$ G if for every normal subgroup $$N$$ N of $$H, N=H\cap N^{G}$$ H , N = H ∩ N G .... 
Normal sensitivity | Locally finite group | 20F50 | Mathematics, general | PST -group | 20E07 | Mathematics | T -group | 20E15 | Primary subgroup | 20F22 | T-group | PST-group | MATHEMATICS | Algebra
Journal Article
Duke Mathematical Journal, ISSN 0012-7094, 06/1996, Volume 83, Issue 3, pp. 661 - 682
Journal Article
Groups Complexity Cryptology, ISSN 1867-1144, 11/2014, Volume 6, Issue 2, pp. 81 - 91
In this paper we survey and reflect upon several aspects of the theory of infinite finitely generated and finitely presented groups that were originally... 
Baumslag doubles | 20F65 | commutative transitive | parafree | Tarski problems | limit | Residually free | 20E07 | 20E06 | CSA group | 20F67 | fully residually free | Parafree | Csa group | Fully residually free | Commutative transitive | Limit
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 2009, Volume 98, Issue 2, pp. 271 - 297
We establish new strong lower bounds on the (subnormal) subgroup growth of a large class of groups. This includes the fundamental groups of all finite-volume... 
MATHEMATICS
Journal Article
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