Class sizes of prime-power order $$p'$$ p ′ -elements and normal subgroups
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| 024 | 7 | 0 | |a 10.1007/s10231-014-0432-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0432-4 | ||
| 245 | 0 | 0 | |a Class sizes of prime-power order $$p'$$ p ′ -elements and normal subgroups |h [Elektronische Daten] |c [Antonio Beltrán, María Felipe, Changguo Shao] |
| 520 | 3 | |a We prove an extension of the renowned Itô's theorem on groups having two class sizes in three different directions at the same time: normal subgroups, $$p'$$ p ′ -elements and prime-power order elements. Let $$N$$ N be a normal subgroup of a finite group $$G$$ G and let $$p$$ p be a fixed prime. Suppose that $$|x^G|= 1$$ | x G | = 1 or $$m$$ m for every $$q$$ q -element of $$N$$ N and for every prime $$q\ne p$$ q ≠ p . Then, $$N$$ N has nilpotent $$p$$ p -complements. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Finite groups |2 nationallicence | |
| 690 | 7 | |a Conjugacy class sizes |2 nationallicence | |
| 690 | 7 | |a Normal subgroups |2 nationallicence | |
| 690 | 7 | |a Prime-power order elements |2 nationallicence | |
| 690 | 7 | |a $$p'$$ p ′ -Elements |2 nationallicence | |
| 700 | 1 | |a Beltrán |D Antonio |u Departamento de Matemáticas, Universidad Jaume I, 12071, Castellón, Spain |4 aut | |
| 700 | 1 | |a Felipe |D María |u Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022, Valencia, Spain |4 aut | |
| 700 | 1 | |a Shao |D Changguo |u School of Mathematical Sciences, University of Jinan, 250022, Jinan, Shandong, China |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1527-1533 |x 0373-3114 |q 194:5<1527 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0432-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0432-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Beltrán |D Antonio |u Departamento de Matemáticas, Universidad Jaume I, 12071, Castellón, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Felipe |D María |u Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022, Valencia, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Shao |D Changguo |u School of Mathematical Sciences, University of Jinan, 250022, Jinan, Shandong, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1527-1533 |x 0373-3114 |q 194:5<1527 |1 2015 |2 194 |o 10231 | ||