[图书][B] Incidence algebras
E Spiegel, CJ O'Donnell - 2022 - taylorfrancis.com
This work covers the maximal and prime ideals of the incidence algebra, derivations and
isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions …
isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions …
On the" main conjecture" of equivariant Iwasawa theory
J Ritter, A Weiss - Journal of the American Mathematical Society, 2011 - JSTOR
The Iwasawa L-function L^/k of K/k is derived from the S-truncated Z-adic Artin L-functions
and belongs to the above group Horn*. The equivariant" main conjecture" asserts that there …
and belongs to the above group Horn*. The equivariant" main conjecture" asserts that there …
A survey of congruences and quotients of partially ordered sets.
NJ Williams - EMS Surveys in Mathematical Sciences, 2024 - ems.press
A quotient of a poset P is a partial order obtained on the equivalence classes of an
equivalence relation  on P;  is then called a congruence if it satisfies certain conditions …
equivalence relation  on P;  is then called a congruence if it satisfies certain conditions …
The Subgroups of M24, or How to Compute the Table of Marks of a Finite Group
G Pfeiffer - Experimental Mathematics, 1997 - Taylor & Francis
Let G be a finite group. The table of marks of G arises from a characterization of the
permutation representations of G by certain numbers of fixed points. It provides a compact …
permutation representations of G by certain numbers of fixed points. It provides a compact …
Walks on generating sets of groups
P Diaconis, L Saloff-Coste - Inventiones mathematicae, 1998 - Springer
We study a Markov chain on generating n-tuples of a fixed group which arises in algorithms
for manipulating finite groups. The main tools are comparison of two Markov chains on …
for manipulating finite groups. The main tools are comparison of two Markov chains on …
Random matrices, the Cohen–Lenstra heuristics, and roots of unity
D Garton - Algebra & Number Theory, 2015 - msp.org
Abstract The Cohen–Lenstra–Martinet heuristics predict the frequency with which a fixed
finite abelian group appears as an ideal class group of an extension of number fields, for …
finite abelian group appears as an ideal class group of an extension of number fields, for …
Cellular automata and finite groups
A Castillo-Ramirez, M Gadouleau - Natural Computing, 2019 - Springer
For a finite group G and a finite set A, we study various algebraic aspects of cellular
automata over the configuration space A^ G AG. In this situation, the set CA (G; A) CA (G; A) …
automata over the configuration space A^ G AG. In this situation, the set CA (G; A) CA (G; A) …
The M\" obius function of the small Ree groups
E Pierro - arXiv preprint arXiv:1410.8702, 2014 - arxiv.org
The M\" obius function for a group, $ G $, was introduced in 1936 by Hall in order to count
ordered generating sets of $ G $. In this paper we determine the M\" obius function of the …
ordered generating sets of $ G $. In this paper we determine the M\" obius function of the …
[PDF][PDF] A generalization of Sylow's third theorem
KS Brown, J Thévenaz - Journal of Algebra, 1988 - core.ac.uk
Let G be a finite group and pa prime divisor of IGI. Sylow's third theorem says that the
number of Sylow p-subgroups of G is congruent to 1 modulo p. This was generalized by …
number of Sylow p-subgroups of G is congruent to 1 modulo p. This was generalized by …
Blocks with cyclic hyperfocal subgroups
X Hu, Y Zhou - Journal of Algebra, 2022 - Elsevier
In this paper, we investigate the block with a cyclic hyperfocal subgroup and abelian
quotient group of a defect group with respect to this hyperfocal subgroup. First, in the light of …
quotient group of a defect group with respect to this hyperfocal subgroup. First, in the light of …