On simple periodic linear groups— Dense subgroups, permutation representations, and induced modules

1993 ◽  
Vol 82 (1-3) ◽  
pp. 299-327 ◽  
Author(s):  
B. Hartley ◽  
A. E. Zalesskii
Keyword(s):  
Linear Groups ◽  
Periodic Linear ◽  
Dense Subgroups

scholarly journals Extensions of Periodic Linear Groups with Finite Unipotent Radical

2003 ◽  
Vol 31 (2) ◽  
pp. 959-968
Author(s):  
Richard E. Phillips† ◽  
Julianne G. Rainbolt ◽  
Jonathan I. Hall ◽  
Ulrich Meierfrankenfeld
Keyword(s):  
Unipotent Radical ◽  
Linear Groups ◽  
Periodic Linear

Periodic Linear Groups

1973 ◽  
pp. 112-133 ◽  
Author(s):  
Bertram A. F. Wehrfritz
Keyword(s):  
Linear Groups ◽  
Periodic Linear

The classification of the simple periodic linear groups

1983 ◽  
Vol 41 (2) ◽  
pp. 103-116 ◽  
Author(s):  
Simon Thomas
Keyword(s):  
Linear Groups ◽  
Periodic Linear

Soluble Periodic Linear Groups

1968 ◽  
Vol s3-18 (1) ◽  
pp. 141-157 ◽  
Author(s):  
B. A. F. Wehrfritz
Keyword(s):  
Linear Groups ◽  
Periodic Linear

CONJUGATELY DENSE SUBGROUPS OF 3-DIMENSIONAL LINEAR GROUPS OVER LOCALLY FINITE FIELD

2005 ◽  
Vol 15 (05n06) ◽  
pp. 1273-1280 ◽  
Author(s):  
S. A. ZYUBIN
Keyword(s):  
Finite Field ◽  
Linear Groups ◽  
Dense Subgroup ◽  
Locally Finite ◽  
3 Dimensional ◽  
Intermediate Group ◽  
Kourovka Notebook ◽  
Locally Finite Field ◽  
Conjugately Dense Subgroup ◽  
Dense Subgroups

A subgroup of any group is called conjugately dense if it has nonempty intersection with each class of conjugate elements of the group. The aim of this paper is to prove the following. Let K be a locally finite field and H be an irreducible conjugately dense subgroup of the intermediate group SL 3(K) ≤ G ≤ GL 3(K); then H = G. This result confirms part of P. Neumann's conjecture from problem 6.38 in "Kourovka Notebook" for the group GL 3(K) over locally finite field K.

A note on periodic linear groups

1981 ◽  
Vol 36 (1) ◽  
pp. 193-199
Author(s):  
B. A. F. Wehrfritz
Keyword(s):  
Linear Groups ◽  
Periodic Linear

Images of periodic linear groups

1998 ◽  
Vol 71 (2) ◽  
pp. 97-106 ◽  
Author(s):  
Richard E. Phillips ◽  
Julianne G. Rainbolt
Keyword(s):  
Linear Groups ◽  
Periodic Linear
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