On $$ {\varSigma}_t^{\sigma } $$ -Closed Classes of Finite Groups
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 ∩ π(n) ≠ ∅}. The integers n and m are called σ -coprime if σ(n) ∩ σ(m) = ∅ . Let t > 1 be a natural number and let 𝔉 be a class of groups....
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, Ch. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Ukrainian mathematical journal - Springer US, 1967, 70(2019), 12 vom: Mai, Seite 1966-1977 |
|---|---|
| Übergeordnetes Werk: |
volume:70 ; year:2019 ; number:12 ; month:05 ; pages:1966-1977 |
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| DOI / URN: |
10.1007/s11253-019-01619-6 |
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| 520 | |a 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 ∩ π(n) ≠ ∅}. The integers n and m are called σ -coprime if σ(n) ∩ σ(m) = ∅ . Let t > 1 be a natural number and let be a class of groups. Then we say that is $$ {\varSigma}_t^{\sigma } $$ -closed provided that contains each group G with subgroups A1, . . . , At whose indices ∣G : A1 ∣ , …, ∣ G : At∣ are pairwise σ -coprime. We study $$ {\varSigma}_t^{\sigma } $$ -closed classes of finite groups. | ||
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10.1007/s11253-019-01619-6 doi (DE-627)OLC205457628X (DE-He213)s11253-019-01619-6-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Zhang, Ch. verfasserin aut On $$ {\varSigma}_t^{\sigma } $$ -Closed Classes of Finite Groups 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 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 ∩ π(n) ≠ ∅}. The integers n and m are called σ -coprime if σ(n) ∩ σ(m) = ∅ . Let t > 1 be a natural number and let 𝔉 be a class of groups. Then we say that 𝔉 is $$ {\varSigma}_t^{\sigma } $$ -closed provided that 𝔉 contains each group G with subgroups A1, . . . , At 𝜖 𝔉 whose indices ∣G : A1 ∣ , …, ∣ G : At∣ are pairwise σ -coprime. We study $$ {\varSigma}_t^{\sigma } $$ -closed classes of finite groups. Skiba, A. N. aut Enthalten in Ukrainian mathematical journal Springer US, 1967 70(2019), 12 vom: Mai, Seite 1966-1977 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:70 year:2019 number:12 month:05 pages:1966-1977 https://doi.org/10.1007/s11253-019-01619-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 70 2019 12 05 1966-1977 |
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10.1007/s11253-019-01619-6 doi (DE-627)OLC205457628X (DE-He213)s11253-019-01619-6-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Zhang, Ch. verfasserin aut On $$ {\varSigma}_t^{\sigma } $$ -Closed Classes of Finite Groups 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 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 ∩ π(n) ≠ ∅}. The integers n and m are called σ -coprime if σ(n) ∩ σ(m) = ∅ . Let t > 1 be a natural number and let 𝔉 be a class of groups. Then we say that 𝔉 is $$ {\varSigma}_t^{\sigma } $$ -closed provided that 𝔉 contains each group G with subgroups A1, . . . , At 𝜖 𝔉 whose indices ∣G : A1 ∣ , …, ∣ G : At∣ are pairwise σ -coprime. We study $$ {\varSigma}_t^{\sigma } $$ -closed classes of finite groups. Skiba, A. N. aut Enthalten in Ukrainian mathematical journal Springer US, 1967 70(2019), 12 vom: Mai, Seite 1966-1977 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:70 year:2019 number:12 month:05 pages:1966-1977 https://doi.org/10.1007/s11253-019-01619-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 70 2019 12 05 1966-1977 |
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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 ∩ π(n) ≠ ∅}. The integers n and m are called σ -coprime if σ(n) ∩ σ(m) = ∅ . Let t > 1 be a natural number and let 𝔉 be a class of groups. Then we say that 𝔉 is $$ {\varSigma}_t^{\sigma } $$ -closed provided that 𝔉 contains each group G with subgroups A1, . . . , At 𝜖 𝔉 whose indices ∣G : A1 ∣ , …, ∣ G : At∣ are pairwise σ -coprime. We study $$ {\varSigma}_t^{\sigma } $$ -closed classes of finite groups. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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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 ∩ π(n) ≠ ∅}. The integers n and m are called σ -coprime if σ(n) ∩ σ(m) = ∅ . Let t > 1 be a natural number and let 𝔉 be a class of groups. Then we say that 𝔉 is $$ {\varSigma}_t^{\sigma } $$ -closed provided that 𝔉 contains each group G with subgroups A1, . . . , At 𝜖 𝔉 whose indices ∣G : A1 ∣ , …, ∣ G : At∣ are pairwise σ -coprime. We study $$ {\varSigma}_t^{\sigma } $$ -closed classes of finite groups. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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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 ∩ π(n) ≠ ∅}. The integers n and m are called σ -coprime if σ(n) ∩ σ(m) = ∅ . Let t > 1 be a natural number and let 𝔉 be a class of groups. Then we say that 𝔉 is $$ {\varSigma}_t^{\sigma } $$ -closed provided that 𝔉 contains each group G with subgroups A1, . . . , At 𝜖 𝔉 whose indices ∣G : A1 ∣ , …, ∣ G : At∣ are pairwise σ -coprime. We study $$ {\varSigma}_t^{\sigma } $$ -closed classes of finite groups. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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