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AIP Conference Proceedings, ISSN 0094-243X, 08/2019, Volume 2142, Issue 1
In this paper, we provide an explicit formula for the number of subgroups series of group Zpm × Zpn which contains a subgroup of order p where p is a prime... 
Subgroups
Journal Article
Communications in Algebra, ISSN 0092-7872, 01/2019, Volume 47, Issue 3, p. 945
Let [Formula omitted.] be a partition of the set of all primes [Formula omitted.] and G a finite group. A set [Formula omitted.] of subgroups of G is said to... 
Subgroups
Journal Article
Communications in Algebra, ISSN 0092-7872, 01/2019, Volume 47, Issue 10, p. 4271
Let σ be some partition of the set of all primes and [Formula omitted.] a complete Hall σ-set of a finite group G. A subgroup H of G is said to be... 
Subgroups
Journal Article
Communications in Algebra, ISSN 0092-7872, 07/2018, Volume 46, Issue 7, p. 3127
Let G be a finite group and σ = {σi|i[element of]I} some partition of the set of all primes. A subgroup A of G is said to be generalized σ-subnormal in G if A... 
Subgroups
Journal Article
Journal of Group Theory, ISSN 1433-5883, 03/2019, Volume 22, Issue 5, p. 915
Let G be a finite group, and let [Image omitted] be a class of groups. A chief factor [Image omitted] of G is said to be [Image omitted] -central (in G ) if... 
Subgroups
Journal Article
Acta Mathematica Sinica. English Series, ISSN 1439-8516, 01/2019, Volume 35, Issue 7, pp. 1179 - 1189
Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p3. Let P1-groups denote the p-groups all of... 
Subgroups
Journal Article
Communications in Algebra, ISSN 0092-7872, 03/2018, Volume 46, Issue 3, p. 1333
Let k be a nonperfect separably closed field. Let G be a connected reductive algebraic group defined over k. We study rationality problems for Serre's notion... 
Subgroups
Journal Article
Forum Mathematicum, ISSN 0933-7741, 03/2019, Volume 31, Issue 2, p. 351
Let G be an arbitrary topological group. We prove that the cellularity of G is equal to the cellularity of the quotient space [Image omitted] for every compact... 
Subgroups
Journal Article
Mathematical Notes, ISSN 0001-4346, 05/2019, Volume 105, Issue 5-6, pp. 888 - 893
Asubgroup H of G is said to be ℳp-supplemented in G if there exists a subgroup B of G such that G = HB and TB < G for every maximal subgroup T of H with ∣H: T∣... 
Subgroups
Journal Article
Communications in Algebra, ISSN 0092-7872, 10/2017, Volume 45, Issue 10, p. 4158
Let G be a finite group and σ = {σi|i[element of]I} be some partition of the set of all primes. We say that G is: σ-primary if G is a σi-group, for some i;... 
Subgroups
Journal Article
Communications in Algebra, ISSN 0092-7872, 10/2017, Volume 45, Issue 10, p. 4542
Let σ = {σi|i[element of]I} be a partition of the set of all primes &[DOUBLE-STRUCK CAPITAL P]; and G a finite group. A set [hamilt] of subgroups of G is said... 
Subgroups
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 08/2017, Volume 1870, Issue 1
A group G is metabelian if and only if there is an abelian normal subgroup N such that the quotient group, G N is abelian. The probability that a random... 
Subgroups
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 08/2017, Volume 1870, Issue 1
A metabelian group is a group G that have at least an abelian normal subgroup N such that the quotient group G N is also abelian. The concept of commutativity... 
Subgroups
Journal Article
Journal of Group Theory, ISSN 1433-5883, 01/2019, Volume 22, Issue 1, pp. 157 - 168
Let be a group and a positive integer. We define to be the intersection of the normalizers of all the non- -subnormal subgroups of . We give a new... 
Subgroups
Journal Article
Ukrainian Mathematical Journal, ISSN 0041-5995, 01/2019, Volume 70, Issue 12, pp. 1966 - 1977
All analyzed groups are finite. Let σ = {σi| i ∈ I} be a partition of the set of all primes ℙ. If n is an integer, then the symbol σ(n) denotes a set {σi| σi ∩... 
Subgroups
Journal Article
Communications in Algebra, ISSN 0092-7872, 01/2017, Volume 45, Issue 1, p. 428
A p-subgroup H of a finite group G is said to satisfy partial S-Π-property in G if G has a chief series [Formula omitted.] such that for every G-chief factor... 
Subgroups
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 06/2016, Volume 1750, Issue 1
Let G be a group and H any subgroup of G. The commutativity degree of a finite group G is defined as the probability that a pair of elements x and y, chosen... 
Subgroups
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 05/2018, Volume 68, Issue 3, p. 473
We are interested in subgroups of the reals that are small in one and large in another sense. We prove that, in ZFC, there exists a non-meager Lebesgue null... 
Subgroups
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 03/2018, Volume 68, Issue 2, pp. 353 - 360
We show that given a finitely generated LERF group G with positive rank gradient, and finitely generated subgroups A, B ≤ G of infinite index, one can find a... 
Subgroups
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 04/2016, Volume 1726, Issue 1
Let G be a group. The intersection of normal subgroups N of G in which G/N is soluble is called soluble residual of G. Soluble residuals are important tools... 
Subgroups
Journal Article
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