# Prof. Dr. Felix Leinen - Publications

## Research Interests

> | Infinite groups with finiteness conditions. |

> | Locally finite groups. |

> | Ideal lattices in group rings of locally finite groups. |

> | Infinite permutation groups. |

> | Linear and finitary linear groups. |

> | Finitary Lie algebras. |

> | Residually finite and profinite groups. |

> | Model theoretic notions in group theory. |

> | Group theoretic constructions (e.g. wreath products, permutational products). |

## Publications

[35] |
Positive definite functions of finitary isometry groups over fields of odd characteristic, J. Pure Appl. Algebra 208 (2007), 1003-1021 (with O. Puglisi). |

[34] |
Some results concerning simple locally finite groups of 1-type, J. Algebra 287 (2005), 32-51 (with O. Puglisi). |

[33] |
Positive definite functions of diagonal limits of finite alternating groups, J. London Math. Soc. (2) 70 (2004), 678-690 (with O. Puglisi). |

[32] |
Diagonal limits of finite alternating groups: confined subgroups, ideals, and positive definite functions, Illinois J. Math. 47 (2003), 345-360 (with O. Puglisi). |

[31] |
Ideals in group algebras of simple locally finite groups of 1-type, Pacific J. Math. 207 (2002), 433-445 (with O. Puglisi). |

[30] |
Confined subgroups in periodic simple finitary linear groups, Israel J. Math. 128 (2002), 285-324 (with O. Puglisi). |

[29] |
Serial subalgebras of finitary Lie algebras, Proc. Amer. Math. Soc. 129 (2001), 45-51 (with O. Puglisi). |

[28] |
Irreducible finitary Lie algebras over fields of positive characteristic, Math. Proc. Camb. Phil. Soc. 129 (2000), 1-8 (with O. Puglisi). |

[27] |
Local systems in simple finitary Lie algebras, Comm. Algebra 28 (2000), 2887-2893. |

[26] |
Periodic groups covered by transitive subgroups of finitary permutations or by irreducible subgroups of finitary transformations, Trans. Amer. Math. Soc. 352 (2000), 1913-1934 (with O. Puglisi). |

[25] |
Finitary representations and images of transitive finitary permutation groups, J. Algebra 222 (1999), 524-549 (with O. Puglisi). |

[24] |
A reduction theorem for perfect locally finite minimal non-FC groups, Glasgow Math. J. 41 (1999), 81-83. |

[23] |
Irreducible finitary Lie algebras over fields of characteristic zero, J. Algebra 210 (1998), 697-702 (with O. Puglisi). |

[22] |
Countable recognizability of primitive periodic finitary linear groups, Math. Proc. Camb. Phil. Soc. 121 (1997), 425-435 (with O. Puglisi). |

[21] |
Irreducible representations of periodic finitary linear groups, J. Algebra 180 (1996), 517-529. |

[20] |
Existentially closed groups in specific classes, in: B. Hartley - G.M. Seitz - A.V. Borovik - R.M. Bryant (eds.), Finite and locally finite groups, NATO ASI Series C 471, Kluwer Acad. Publ., Dordrecht - Boston - London 1995, pp. 285-326 (survey article). |

[19] |
Absolute irreducibility for finitary linear groups, Rend. Sem. Mat. Univ. Padova 92 (1994), 59-61. |

[18] |
Hypercentral unipotent finitary skew linear groups, Comm. Algebra 22 (1994), 929-949. |

[17] |
Unipotent finitary linear groups, J. London Math. Soc. (2) 48 (1993), 59-76 (with O. Puglisi). |

[16] |
Countable closed LFC-groups with p-torsion, Trans. Amer. Math. Soc. 336 (1993), 193-217. |

[15] |
Existentially closed locally cofinite groups, Proc. Edinburgh Math. Soc. 35 (1992), 233-253. |

[14] |
Uncountable existentially closed groups in locally finite group classes, Glasgow Math. J. 32 (1990), 153-163. |

[13] |
Amalgamation of locally finite p-groups over a countable FC-group, Arch. Math. 52 (1989), 321-332. |

[12] |
Group rings of existentially closed locally finite p-groups, Publ. Math. Debrecen 35 (1988), 289-294. |

[11] |
Chief series and right regular representations of finite p-groups, J. Australian Math. Soc. (A) 44 (1988), 225-232. |

[10] |
An amalgamation theorem for soluble groups, Canadian Math. Bull. 30 (1987), 9-18. |

[9] |
Algebraically closed groups in locally finite group classes, in: O.H. Kegel - F. Menegazzo - G. Zacher (eds.), Group Theory, Proceedings Brixen/Bressanone 1986, Springer Lecture 1281, Berlin 1987, pp. 85-102 (with R.E. Phillips). |

[8] |
Algebraically closed locally finite groups, in: C.M. Campbell - E.F. Robertson (eds.), Groups - St. Andrews 1985, London Math. Soc. Lecture Notes 121, Cambridge 1986, pp. 246-248 (survey article). |

[7] |
A uniform way to control chief series in finite p-groups and to construct the countable algebraically closed locally finite p-groups, J. London Math. Soc. (2) 33 (1986), 260-270. |

[6] |
Existentially closed central extensions of locally finite p-groups, Math. Proc. Camb. Phil. Soc. 100 (1986), 281-301 (with R.E. Phillips). |

[5] |
Existentially closed locally finite p-groups, J. Algebra 103 (1986), 160-183. |

[4] |
Existentially closed LX-groups, Rend. Sem. Mat. Univ. Padova 75 (1986), 191-226. |

[3] |
Existentially closed groups in locally finite group classes, Comm. Algebra 13 (1985), 1991-2024. |

[2] |
Lokale Systeme in universellen Gruppen, Arch. Math. 41 (1983), 401-403. |

[1] |
Lokal endlich-pi-separierte Gruppen mit Minimalbedingung für Zentralisatoren, Arch. Math. 39 (1982), 407-413. |