zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Units in Whitehead groups of finite groups. (English) Zbl 0517.16011

MSC:
16S34Group rings (associative rings), Laurent polynomial rings
16U60Units, groups of units (associative rings and algebras)
16E20Grothendieck groups and $K$-theory of noncommutative rings
18F25Algebraic $K$-theory and $L$-theory
11R23Iwasawa theory
WorldCat.org
Full Text: DOI
References:
[1] R. C. Alperin, R. K. Dennis, R. Oliver, and M. R. Stein, SK1 of finite abelian groups, II, to appear.
[2] Bass, H.: Algebraic K-theory. (1968)
[3] Hasse, H.: Uber die klassenzahl abelschen zahlkorper. (1952)
[4] Higman, G.: The units of group rings. Proc. London math. Soc. 46, 231-248 (1940) · Zbl 0025.24302
[5] Jajodia, S.; Magurn, B. A.: Surjective stability of units and simple homotopy type. J. pure appl. Algebra 18, 45-58 (1980) · Zbl 0438.57008
[6] Keating, M. E.: On the K-theory of the quaternion group. Mathematika 20, 59-62 (1973) · Zbl 0267.18016
[7] Koblitz, N.: P-adic numbers, p-adic analysis, and zeta-functions. Gtm 58 (1977) · Zbl 0364.12015
[8] Lang, S.: Algebraic number theory. (1970) · Zbl 0211.38404
[9] Magurn, B. A.: SK1 of dihedral groups. J. algebra 51, No. 2, 399-415 (1978) · Zbl 0376.16026
[10] Magurn, B. A.: Images of SK1ZG. Pacific J. Math. 79, No. 2, 531-539 (1978) · Zbl 0398.16007
[11] Oliver, R.: See correction in invent. Math.. Invent. math. 64, 167-169 (1981) · Zbl 0455.18007
[12] Oliver, R.: SK1 for finite group rings, II. Math. scand. 47, 195-231 (1980) · Zbl 0456.16027
[13] Oliver, R.: SK1 for finite group rings, III. Lecture notes in mathematics no. 854, 299-337 (1981)
[14] Oliver, R.: SK1 for finite group rings, IV. Proc. London math. Soc. 46, 1-37 (1983) · Zbl 0499.16017
[15] Reiner, I.: Maximal orders. (1975) · Zbl 0305.16001
[16] Swan, R. G.: Strong approximation and locally free modules. Ring theory and algebra III, Proceedings of the third oklahoma conference, 153-223 (1980)
[17] Vaserstein, L. N.: Math. USSR sb.. 8, No. No. 3, 383-400 (1969)
[18] Vaserstein, L. N.: The structure of classical arithmetic groups of rank greater than one. Math. USSR sb. 20, 465-491 (1973) · Zbl 0291.14016
[19] Vaserstein, L. N.: Stable rank of rings and dimensionality of topological spaces. Funct. anal. Appl. 5, 102-110 (1971) · Zbl 0239.16028
[20] Wall, C. T. C: On the classification of Hermitian forms: III: Complete semilocal rings. Invent. math. 19, 59-71 (1973) · Zbl 0259.16013
[21] Wall, C. T. C: Norms of units in group rings. Proc. London math. Soc. 29, 593-632 (1974) · Zbl 0302.16013
[22] Weil, A.: Basic number theory. Die grundlehren der math. Wissenschaften 144 (1967)
[23] Weiss, E.: Algebraic number theory. (1963) · Zbl 0115.03601
[24] Williamson, S.: Crossed products and hereditary orders. Nagoya math. J. 23, 103-120 (1963) · Zbl 0152.02002
[25] Wilson, S. M. J: Reduced norms in the K-theory of orders. J. algebra 46, 1-11 (1977) · Zbl 0358.16021