000 03079nam a22004575i 4500
001 978-3-540-47120-2
003 DE-He213
005 20190213151332.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540471202
_9978-3-540-47120-2
024 7 _a10.1007/BFb0090195
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aShort, Mark W.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Primitive Soluble Permutation Groups of Degree less than 256
_h[electronic resource] /
_cby Mark W. Short.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1992.
300 _aXIII, 151 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1519
505 0 _aBackground theory -- The imprimitive soluble subgroups of GL(2, p k ) -- The normaliser of a Singer cycle of prime degree -- The irreducible soluble subgroups of GL(2, p k ) -- Some irreducible soluble subgroups of GL(q, p k ), q>2 -- The imprimitive soluble subgroups of GL(4, 2) and GL(4, 3) -- The primitive soluble subgroups of GL(4, p k) -- The irreducible soluble subgroups of GL(6, 2) -- Conclusion -- The primitive soluble permutation groups of degree less than 256.
520 _aThis monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble permutation groups of prime-squared degree and a partial description obtained for prime-cubed degree. These descriptions are easily converted to algorithms for enumerating appropriate representatives of the groups. The descriptions for degrees 34 (die vier hochgestellt, Sonderzeichen) and 26 (die sechs hochgestellt, Sonderzeichen) are obtained partly by theory and partly by machine, using the software system Cayley. The material is appropriate for people interested in soluble groups who also have some familiarity with the basic techniques of representation theory. This work complements the substantial work already done on insoluble primitive permutation groups.
650 0 _aGroup theory.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662172865
776 0 8 _iPrinted edition:
_z9783540555018
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1519
856 4 0 _uhttps://doi.org/10.1007/BFb0090195
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10319
_d10319