000 02305nam a22003498i 4500
001 CR9780511721243
003 UkCbUP
005 20200124160211.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100303s1981||||enk o ||1 0|eng|d
020 _a9780511721243 (ebook)
020 _z9780521241908 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA174.2
_b.G53 1981
082 0 0 _a512/.2
_219
100 1 _aGlass, A. M. W.
_q(Andrew Martin William),
_d1944-
_eauthor.
245 1 0 _aOrdered permutation groups /
_cA.M.W. Glass.
264 1 _aCambridge :
_bCambridge University Press,
_c1981.
300 _a1 online resource (xlix, 266 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v55
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aAs a result of the work of the nineteenth-century mathematician Arthur Cayley, algebraists and geometers have extensively studied permutation of sets. In the special case that the underlying set is linearly ordered, there is a natural subgroup to study, namely the set of permutations that preserves that order. In some senses. these are universal for automorphisms of models of theories. The purpose of this book is to make a thorough, comprehensive examination of these groups of permutations. After providing the initial background Professor Glass develops the general structure theory, emphasizing throughout the geometric and intuitive aspects of the subject. He includes many applications to infinite simple groups, ordered permutation groups and lattice-ordered groups. The streamlined approach will enable the beginning graduate student to reach the frontiers of the subject smoothly and quickly. Indeed much of the material included has never been available in book form before, so this account should also be useful as a reference work for professionals.
650 0 _aPermutation groups.
650 0 _aOrdered groups.
776 0 8 _iPrint version:
_z9780521241908
830 0 _aLondon Mathematical Society lecture note series ;
_v55.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511721243
999 _c515869
_d515867