Geodesic
A note on groups with few isomorphism classes of subgroups
Francesco de Giovanni 1   ; Alessio Russo 2
1 Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II” 80126 Napoli, Italy
2 Dipartimento di Matematica e Fisica Seconda Università di Napoli 81100 Caserta, Italy
Colloquium Mathematicum, Tome 144 (2016) no. 2, pp. 265-271 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The structure of infinite groups in which any two (proper) subgroups of the same cardinality are isomorphic is described within the universe of locally graded groups. The corresponding problem for finite groups was considered by R. Armstrong (1958).
DOI : 10.4064/cm6779-1-2016
Keywords: structure infinite groups which proper subgroups cardinality isomorphic described within universe locally graded nbsp groups corresponding problem finite groups considered nbsp armstrong

Francesco de Giovanni  1   ; Alessio Russo  2

1 Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II” 80126 Napoli, Italy
2 Dipartimento di Matematica e Fisica Seconda Università di Napoli 81100 Caserta, Italy 
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Francesco de Giovanni; Alessio Russo. A note on groups with few isomorphism classes of subgroups. Colloquium Mathematicum, Tome 144 (2016) no. 2, pp. 265-271. doi: 10.4064/cm6779-1-2016

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