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.mw-parser-output div.NavFrame{border:1px solid #A2A9B1;clear:both;font-size:95%;margin-top:1.5em;min-height:0;padding:2px;text-align:center}.mw-parser-output div.NavPic{float:left;padding:2px}.mw-parser-output div.NavHead{background-color:#EAECF0;font-weight:bold}.mw-parser-output div.NavFrame:after{clear:both;content:"";display:block}.mw-parser-output div.NavFrame+div.NavFrame,.mw-parser-output div.NavFrame+link+div.NavFrame{margin-top:-1px}.mw-parser-output .NavToggle{float:right;font-size:x-small} Liste antiker Ortsnamen und geographischer Bezeichnungen Einleitung • Ab Ac Ad Ae Af Ag Ah Ai Ak Al Am An Ao Ap Aq Ar As At Au Av Ax Az • Ba Be Bi Bl Bo Br Bu By • Ca Ce Ch Ci Cl Cn Co Cr Ct Cu Cy • Da De Di Do Dr Du Dy • Eb Ec Ed Eg Ei El Em En Eo Ep Eq Er Es Et Eu Ev Ex Ez • Fa Fe Fi Fl Fo Fr Fu • Ga Ge Gi Gl Go Gr Gu Gy • Ha He Hi Ho Hu Hy • Ia Ib Ic Id Ie Ig Il Im

.mw-parser-output div.NavFrame{border:1px solid #A2A9B1;clear:both;font-size:95%;margin-top:1.5em;min-height:0;padding:2px;text-align:center}.mw-parser-output div.NavPic{float:left;padding:2px}.mw-parser-output div.NavHead{background-color:#EAECF0;font-weight:bold}.mw-parser-output div.NavFrame:after{clear:both;content:"";display:block}.mw-parser-output div.NavFrame+div.NavFrame,.mw-parser-output div.NavFrame+link+div.NavFrame{margin-top:-1px}.mw-parser-output .NavToggle{float:right;font-size:x-small} Liste antiker Ortsnamen und geographischer Bezeichnungen Einleitung • Ab Ac Ad Ae Af Ag Ah Ai Ak Al Am An Ao Ap Aq Ar As At Au Av Ax Az • Ba Be Bi Bl Bo Br Bu By • Ca Ce Ch Ci Cl Cn Co Cr Ct Cu Cy • Da De Di Do Dr Du Dy • Eb Ec Ed Eg Ei El Em En Eo Ep Eq Er Es Et Eu Ev Ex Ez • Fa Fe Fi Fl Fo Fr Fu • Ga Ge Gi Gl Go Gr Gu Gy • Ha He Hi Ho Hu Hy • Ia Ib Ic Id Ie Ig Il Im

Bermudas nos Jogos Olímpicos de Verão de 2004 Comitê Olímpico Nacional Código do COI BER Nome Bermuda Olympic Association site oficial (em inglês) Jogos Olímpicos de Verão de 2004 Sede Atenas, Grécia Competidores 10 em 6 esportes Porta-bandeira Peter Bromby Medalhas Pos. n/d 0 0 0 0 Participações nos Jogos Olímpicos Verão 1936 • 1948 • 1952 • 1956 • 1960 • 1964 • 1968 • 1972 • 1976 • 1980 • 1984 • 1988 • 1992 • 1996 • 2000 • 2004 • 2008 • 2012 • 2016 Inverno 1992 • 1994 • 1998 • 2002 • 2006 • 2010 • 2014 • 2018

.mw-parser-output div.NavFrame{border:1px solid #A2A9B1;clear:both;font-size:95%;margin-top:1.5em;min-height:0;padding:2px;text-align:center}.mw-parser-output div.NavPic{float:left;padding:2px}.mw-parser-output div.NavHead{background-color:#EAECF0;font-weight:bold}.mw-parser-output div.NavFrame:after{clear:both;content:"";display:block}.mw-parser-output div.NavFrame+div.NavFrame,.mw-parser-output div.NavFrame+link+div.NavFrame{margin-top:-1px}.mw-parser-output .NavToggle{float:right;font-size:x-small} Liste antiker Ortsnamen und geographischer Bezeichnungen Einleitung • Ab Ac Ad Ae Af Ag Ah Ai Ak Al Am An Ao Ap Aq Ar As At Au Av Ax Az • Ba Be Bi Bl Bo Br Bu By • Ca Ce Ch Ci Cl Cn Co Cr Ct Cu Cy • Da De Di Do Dr Du Dy • Eb Ec Ed Eg Ei El Em En Eo Ep Eq Er Es Et Eu Ev Ex Ez • Fa Fe Fi Fl Fo Fr Fu • Ga Ge Gi Gl Go Gr Gu Gy • Ha He Hi Ho Hu Hy • Ia Ib Ic Id Ie Ig Il Im

1 Let $G$ be a group with a normal subgroup $N$ and a subgroup $H$ with $|H|=p$ of prime cardinality and $H$ is not a subgroup of $N$ . The question is to prove that $G/N$ has a subgroup that is isomorphic to $H$ . My attempt : $|H|=pimplies $ $H$ is cyclic. $H=langle hrangle$ for some $hin H$ The correspondance theorem states that $f:{Kle G : Ksupset N}rightarrow{text{subgroups of } G/N}$ is a bijection but this doesn't seem to be useful here. A hint would be welcome abstract-algebra group-theory share | cite | improve this question asked Nov 28 '18 at 11:51 John Cataldo