AbstractIn this paper we find the number of classes of conjugate π-Hall subgroups in all finite almost simple groups. We also complete the classification of π-Hall subgroups in finite simple groups and correct some mistakes from our previous paper
The conjugacy class of an element in a group is the set of all conjugates of that element in the gro...
AbstractLet G be a finite p-group of order pn. A well known result of P. Hall determines the number ...
Given a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G ...
Abstract: A finite group G is said to satisfy Cπ for a set of primes π, if G possesses exactly one c...
The object of the article is to show that a Jordan-Hölder class structure of a finite group determin...
Assume that a finite group H has a unique minimal normal subgroup, say N, and that N has a complemen...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
В статье найдены новые критерии существования и сопряженности холловых подгрупп конечных групп. = Th...
Abstract. We present explicit upper bounds for the number and size of conjugacy classes in finite Ch...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
AbstractLetGbe a finite group and π a set of primes. In this paper, some new criteria for π-separabl...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
For a finite group G, let k(G) denote the number of conjugacy classes of G. If G is a finite permuta...
Given a finite group G, consider the prime graph built on the set of conjugacy class sizes of G. Den...
The conjugacy class of an element in a group is the set of all conjugates of that element in the gro...
AbstractLet G be a finite p-group of order pn. A well known result of P. Hall determines the number ...
Given a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G ...
Abstract: A finite group G is said to satisfy Cπ for a set of primes π, if G possesses exactly one c...
The object of the article is to show that a Jordan-Hölder class structure of a finite group determin...
Assume that a finite group H has a unique minimal normal subgroup, say N, and that N has a complemen...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
AbstractWe prove the Arad–Herzog conjecture for various families of finite simple groups — if A and ...
В статье найдены новые критерии существования и сопряженности холловых подгрупп конечных групп. = Th...
Abstract. We present explicit upper bounds for the number and size of conjugacy classes in finite Ch...
The project will investigate the relationship between the number of conjugacy classes of a finite gr...
AbstractLetGbe a finite group and π a set of primes. In this paper, some new criteria for π-separabl...
Suppose that G is a finite group and K is a non-trivial conjugacy class of G such that KK−1 = 1 ∪ D ...
For a finite group G, let k(G) denote the number of conjugacy classes of G. If G is a finite permuta...
Given a finite group G, consider the prime graph built on the set of conjugacy class sizes of G. Den...
The conjugacy class of an element in a group is the set of all conjugates of that element in the gro...
AbstractLet G be a finite p-group of order pn. A well known result of P. Hall determines the number ...
Given a finite group G which possesses a non-abelian simple normal subgroup N having exactly four G ...
DOI
Add to ORKG