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Autor:
Forrester, Timothy R.1 timothy.forrester@umontana.edu, Green, David J.1, McKibbin, René2, Morgan, Tawna C.3, Bezener, A. Michael4, Bishop, Christine A.5
Publikováno v:
Wilson Journal of Ornithology. Jun2023, Vol. 135 Issue 2, p154-171. 18p.
Publikováno v:
J. Algebra 469 (2017), 77-83
We prove that the group algebra of the quaternion group $Q_8$ over any field of characteristic two has ghost number three.
Externí odkaz:
http://arxiv.org/abs/1510.09078
Autor:
Eick, Bettina, Green, David J.
Publikováno v:
J. Aust. Math. Soc. 102 (2017), 185-204
We introduce the concept of an infinite cochain sequence and initiate a theory of homological algebra for them. We show how these sequences simplify and improve the construction of infinite coclass families (as introduced by Eick and Leedham-Green) a
Externí odkaz:
http://arxiv.org/abs/1505.01701
Publikováno v:
J. Group Theory 19 (2016), 609-615
Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We apply results of Koshitani and Motose on the nilpotency index of the Jacobson radical to prove the upper bound and most cases of t
Externí odkaz:
http://arxiv.org/abs/1502.05727
The Sylow p-subgroups of the symmetric group S_p^n satisfy the appropriate generalization of Maschke's Theorem to the case of a p'-group acting on a (not necessarily abelian) p-group. Moreover, some known results about the Sylow p-subgroups of S_p^n
Externí odkaz:
http://arxiv.org/abs/1412.6176
Publikováno v:
In Progress in Oceanography March 2020 182
Autor:
Green, David J., King, Simon A.
We complete the calculation of the Ext algebra of the principal 2-block of the Mathieu group M_11, extending work of Benson-Carlson and of Pawloski - and duplicating work of Generalov.
Externí odkaz:
http://arxiv.org/abs/1311.0025